Edit Profile (opens in new tab) Ballico, Edoardo Compute Distance To: Compute Author ID: ballico.edoardo Published as: Ballico, E.; Ballico, Edoardo; Ballico, Eduardo Homepage: https://webapps.unitn.it/du/it/Persona/PER0004687/Curriculum External Links: MGP · ORCID · ResearchGate · Math-Net.Ru · dblp · GND Documents Indexed: 1,378 Publications since 1978 9 Contributions as Editor · 4 Further Contributions Reviewing Activity: 532 Reviews Co-Authors: 117 Co-Authors with 348 Joint Publications 1,450 Co-Co-Authors all top 5 Co-Authors 1038 single-authored 40 Fontanari, Claudio 33 Cossidente, Antonio 25 Ellia, Philippe 24 Bernardi, Alessandra 23 Keem, Changho 19 Malaspina, Francesco 18 Huh, Sukmoon 17 Gasparim, Elizabeth 15 Chiantini, Luca 12 Andreatta, Marco 12 Russo, Barbara 9 Chiarli, Nadia 9 Greco, Silvio 7 Bolondi, Giorgio 7 Ravagnani, Alberto 7 Ventura, Emanuele 6 Mirò-Roig, Rosa Maria 5 Alzati, Alberto 5 Ciliberto, Ciro 5 Ramella, Luciana 4 Notari, Roberto 4 Oliverio, Paolo Antonio 4 Prantil, Francesco 4 Tasin, Luca 4 Wiśńiewski, Jarosław Antoni 3 Altavilla, Amedeo 3 Beltrametti, Mauro C. 3 Casnati, Gianfranco 3 Elia, Michele 3 Gatto, Letterio 3 Gesmundo, Fulvio 3 Ghiloni, Riccardo 3 Giovanetti, Fabio 3 Hefez, Abramo 3 Köppe, Thomas 3 Orecchia, Ferruccio 3 Pasotti, Stefano 3 Pons-Llopis, Joan 3 Siciliano, Alessandro 2 Ancona, Vincenzo 2 Benzo, Luca 2 Bertolini, Marina 2 Bocci, Cristiano 2 Brambilla, Maria Chiara 2 Catalisano, Maria Virginia 2 Catanese, Fabrizio M. E. 2 Ferreira, Arturo V. 2 Grama, Lino 2 Guardo, Elena 2 Homma, Masaaki 2 Lanteri, Antonio 2 Martens, Gerriet 2 Migliore, Juan Carlos 2 Newstead, Peter E. 2 Ohbuchi, Akira 2 Oneto, Alessandro 2 Rubilar, Francisco 2 Sala, Massimiliano 2 San Martin, Luiz Antonio Barrera 2 Silva, Alessandro 2 Sommese, Andrew John 2 Spreafico, Maria Luisa 2 Suzuki, Bruno 2 Turrini, Cristina 2 Valabrega, Paolo 2 Valenzano, Mario 1 Aladpoosh, Tahereh 1 Badescu, Lucian 1 Baiesi, Marco 1 Barmeier, Severin 1 Bastianelli, Francesco 1 Ben-Bassat, Oren 1 Bertone, Cristina 1 Bik, Arthur 1 Brambila-Paz, Gloria Leticia 1 Brannetti, Silvia 1 Callander, Brian 1 Carlini, Enrico 1 Caruso, Fabrizio 1 Carusotta, Iacopo 1 Casagrande, Cinzia 1 Christandl, Matthias 1 Chung, Kiryong 1 Colliot-Thélène, Jean-Louis 1 Coppens, Marc 1 De Paris, Alessandro 1 Del Centina, Andrea 1 Dikranjan, Dikran N. 1 Dumitrescu, Olivia 1 Eyral, Christophe 1 Favacchio, Giuseppe 1 Franciosi, Marco 1 Geramita, Anthony Vito 1 Hein, Georg 1 Idà, Monica 1 Kato, Kazuya 1 Kim, Seonja 1 Kollár, János 1 Marcolla, Chiara 1 Mazzucchi, Sonia ...and 21 more Co-Authors all top 5 Serials 436 International Journal of Pure and Applied Mathematics 51 International Mathematical Journal 40 International Mathematical Forum 31 Journal of Pure and Applied Algebra 27 Communications in Algebra 24 Journal of Algebra 20 Rendiconti del Circolo Matemàtico di Palermo. Serie II 20 Results in Mathematics 19 International Journal of Contemporary Mathematical Sciences 18 Proceedings of the American Mathematical Society 17 Annali di Matematica Pura ed Applicata. Serie Quarta 16 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 15 Archiv der Mathematik 14 Manuscripta Mathematica 14 Le Matematiche 13 Revue Roumaine de Mathématiques Pures et Appliquées 13 Rocky Mountain Journal of Mathematics 13 Rendiconti del Seminario Matematico 12 Beiträge zur Algebra und Geometrie 12 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 12 Gulf Journal of Mathematics 11 Geometriae Dedicata 11 Rendiconti del Seminario Matematico della Università di Padova 11 Note di Matematica 9 Collectanea Mathematica 9 Mathematische Nachrichten 9 Georgian Mathematical Journal 9 Advances in Geometry 8 Pacific Journal of Mathematics 8 Forum Mathematicum 8 Linear Algebra and its Applications 8 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 8 Central European Journal of Mathematics 7 Journal of the Korean Mathematical Society 7 Ricerche di Matematica 7 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 7 Designs, Codes and Cryptography 7 Finite Fields and their Applications 6 Annales Polonici Mathematici 6 Journal of Geometry 6 Bollettino della Unione Matemàtica Italiana. Serie VII. A 6 Bulletin of the Belgian Mathematical Society - Simon Stevin 6 Mediterranean Journal of Mathematics 5 Linear and Multilinear Algebra 5 Canadian Mathematical Bulletin 5 Compositio Mathematica 5 Osaka Journal of Mathematics 5 Transactions of the American Mathematical Society 5 Tsukuba Journal of Mathematics 5 Complex Variables. Theory and Application 5 Bulletin of the Korean Mathematical Society 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Mathematica Pannonica 5 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 5 Atti del Seminario Matematico e Fisico dell’Università di Modena 5 Turkish Journal of Mathematics 5 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 5 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 5 Albanian Journal of Mathematics 5 Rivista di Matematica della Università di Parma. New Series 4 Israel Journal of Mathematics 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Acta Mathematica Vietnamica 4 Illinois Journal of Mathematics 4 Mathematische Zeitschrift 4 Topology and its Applications 4 International Journal of Mathematics 4 Cubo 4 Sarajevo Journal of Mathematics 4 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 4 International Electronic Journal of Geometry 4 Afrika Matematika 4 ISRN Geometry 3 Arkiv för Matematik 3 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Annalen 3 Annals of Global Analysis and Geometry 3 Journal of Symbolic Computation 3 Bulletin of the Institute of Mathematics. Academia Sinica 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Bollettino della Unione Matemàtica Italiana. Serie VI. B 3 Indagationes Mathematicae. New Series 3 New Zealand Journal of Mathematics 3 Arab Journal of Mathematical Sciences 3 Revista Matemática Complutense 3 The Quarterly Journal of Mathematics 3 Portugaliae Mathematica. Nova Série 3 JP Journal of Geometry and Topology 3 Complex Variables and Elliptic Equations 3 Lecture Notes in Mathematics 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 International Journal of Mathematics and Analysis 3 Arabian Journal of Mathematics 2 Bulletin of the Australian Mathematical Society 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 American Journal of Mathematics 2 Annales de l’Institut Fourier 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Mathématique de France ...and 99 more Serials all top 5 Fields 1,266 Algebraic geometry (14-XX) 146 Several complex variables and analytic spaces (32-XX) 73 Linear and multilinear algebra; matrix theory (15-XX) 64 Commutative algebra (13-XX) 27 Field theory and polynomials (12-XX) 26 Information and communication theory, circuits (94-XX) 22 Number theory (11-XX) 22 Global analysis, analysis on manifolds (58-XX) 21 Manifolds and cell complexes (57-XX) 17 Functional analysis (46-XX) 17 Geometry (51-XX) 16 Functions of a complex variable (30-XX) 13 Differential geometry (53-XX) 11 General and overarching topics; collections (00-XX) 10 Approximations and expansions (41-XX) 8 Combinatorics (05-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Associative rings and algebras (16-XX) 5 General topology (54-XX) 5 Algebraic topology (55-XX) 5 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 393 Publications have been cited 1,305 times in 809 Documents Cited by ▼ Year ▼ Decomposition of homogeneous polynomials with low rank. Zbl 1252.14032Ballico, Edoardo; Bernardi, Alessandra 38 2012 The maximal rank conjecture for non special curves in \({\mathbb{P}}^ 3\). Zbl 0556.14007Ballico, E.; Ellia, Ph. 36 1985 Stratification of the fourth secant variety of Veronese varieties via the symmetric rank. Zbl 1317.14117Ballico, Edoardo; Bernardi, Alessandra 24 2013 On singular curves in the case of positive characteristic. Zbl 0699.14006Ballico, Edoardo 20 1989 The Lazarsfeld-Rao problem for liaison classes of two-codimensional subschemes of \(\mathbb{P}^ n\). Zbl 0754.14032Ballico, Edoardo; Bolondi, Giorgio; Migliore, Juan Carlos 20 1991 A remark on linear series on general k-gonal curves. Zbl 0702.14026Ballico, E. 18 1989 The maximal rank conjecture for non-special curves in \({\mathbb{P}}^ n\). Zbl 0631.14029Ballico, Edoardo; Ellia, Philippe 18 1987 On the existence of curves with maximal rank in \({\mathbb{P}}^ n\). Zbl 0662.14010Ballico, E.; Ellia, Ph. 18 1989 Vector bundles and adjunction. Zbl 0770.14008Andreatta, M.; Ballico, E.; Wiśniewski, Jarosław A. 17 1992 Tensor ranks on tangent developable of Segre varieties. Zbl 1282.14090Ballico, Edoardo; Bernardi, Alessandra 16 2013 Generators for the homogeneous ideal of s general points in \({\mathbb{P}}_ 3\). Zbl 0616.14043Ballico, Edoardo 16 1987 Weierstrass multiple loci of \(n\)-pointed algebraic curves. Zbl 0909.14019Ballico, E.; Kim, S. J. 14 1998 Two theorems on elementary contractions. Zbl 0789.14011Andreatta, M.; Ballico, Edoardo; Wiśniewski, Jarosław A. 14 1993 On smooth subcanonical varieties of codimension 2 in \(P^ n\), n\(\geq 4\). Zbl 0549.14015Ballico, Edoardo; Chiantini, Luca 13 1983 On the Clifford index of algebraic curves. Zbl 0591.14020Ballico, Edoardo 12 1986 On the weak non-defectivity of Veronese embeddings of projective spaces. Zbl 1106.14040Ballico, Edoardo 11 2005 On degeneration of projective curves. Zbl 0512.14017Ballico, E.; Ellia, Ph. 11 1983 On the partially symmetric rank of tensor products of \(W\)-states and other symmetric tensors. Zbl 1476.14090Ballico, Edoardo; Bernardi, Alessandra; Christandl, Matthias; Gesmundo, Fulvio 10 2019 Globally generated vector bundles of rank 2 on a smooth quadric threefold. Zbl 1281.14038Ballico, Edoardo; Huh, Sukmoon; Malaspina, Francesco 10 2014 The Horace method for error-correcting codes. Zbl 1104.94059Ballico, Edoardo; Fontanari, Claudio 10 2006 Smooth curves whose hyperplane section is a given set of points. Zbl 0711.14031Ballico, Edoardo; Migliore, Juan 10 1990 On the Galois group associated to a generically étale morphism. Zbl 0593.14011Ballico, E.; Hefez, A. 10 1986 Generic curves of small genus in \(P^3\) are of maximal rank. Zbl 0501.14017Ballico, E.; Ellia, Ph. 10 1983 On the geometry of Hermitian one-point codes. Zbl 1343.94099Ballico, Edoardo; Ravagnani, Alberto 10 2014 Sets computing the symmetric tensor rank. Zbl 1272.14039Ballico, Edoardo; Chiantini, Luca 10 2013 Regularity and cohomological splitting conditions for vector bundles on multiprojective spaces. Zbl 1246.14056Ballico, Edoardo; Malaspina, Francesco 9 2011 A criterion for detecting the identifiability of symmetric tensors of size three. Zbl 1242.14051Ballico, Edoardo; Chiantini, Luca 9 2012 On Bănică sheaves and Fano manifolds. Zbl 0872.14009Ballico, Edoardo; Wiśniewski, Jarosław A. 9 1996 On the postulation of a general projection of a curve in \(P^ 3\). Zbl 0591.14041Ballico, E.; Ellia, Ph. 9 1985 On the numerical range of matrices over a finite field. Zbl 1353.15028Ballico, E. 9 2017 Brill-Noether theory for vector bundles on projective curves. Zbl 0944.14015Ballico, E. 8 1998 Curves of maximum genus in range A and stick-figures. Zbl 0885.14016Ballico, Edoardo; Bolondi, Giorgio; Ellia, Philippe; Mirò-Roig, Rosa Maria 8 1997 Uniform vector bundles of rank \((n+1)\) on \({\mathbb{P}}_ n\). Zbl 0532.14006Ballico, Edoardo 8 1983 On the postulation of a general projection of a curve in \(P^ N\), N\(\geq 4\). Zbl 0634.14036Ballico, E.; Ellia, Ph. 8 1987 On the birational geometry of moduli spaces of pointed curves. Zbl 1194.14038Ballico, Edoardo; Casnati, Gianfranco; Fontanari, Claudio 8 2009 Very ample line bundles on blown-up projective varieties. Zbl 0939.14025Ballico, Edoardo; Coppens, Marc 7 1997 On the non-defectivity of non weak-defectivity of Segre-Veronese embeddings of products of projective spaces. Zbl 1094.14510Ballico, Edoardo 7 2006 Higher secant varieties of \(\mathbb P^n \times \mathbb P^1\) embedded in bi-degree \((a, b)\). Zbl 1262.14066Ballico, Edoardo; Bernardi, Alessandra; Catalisano, Maria Virginia 7 2012 Projective surfaces with \(k\)-very ample line bundles of degree \(\leq 4k + 4\). Zbl 0841.14033Ballico, Edoardo; Sommese, Andrew J. 7 1994 Qregularity and an extension of the Evans-Griffiths criterion to vector bundles on quadrics. Zbl 1153.14014Ballico, Edoardo; Malaspina, Francesco 7 2009 The minimal free resolution of the ideal of s general points in \({\mathbb{P}}^ 3\). Zbl 0621.14003Ballico, Edoardo; Geramita, Anthony V. 7 1986 Uniform vector bundles on quadrics. Zbl 0495.14008Ballico, Edoardo 7 1981 Rank-2 vector bundles with many sections and low \(c_ 2\) on a surface. Zbl 0685.14011Ballico, Edoardo 7 1989 Generic power sum decompositions and bounds for the Waring rank. Zbl 1369.15004Ballico, Edoardo; De Paris, Alessandro 7 2017 Moduli of Prym curves. Zbl 1072.14029Ballico, Edoardo; Casagrande, Cinzia; Fontanari, Claudio 6 2004 An effective Bertini theorem over finite fields. Zbl 1070.14524Ballico, E. 6 2003 On multiple coverings of irrational curves. Zbl 0828.14015Ballico, Edoardo; Keem, Changho 6 1995 A partial stratification of secant varieties of Veronese varieties via curvilinear subschemes. Zbl 1261.14026Ballico, Edoardo; Bernardi, Alessandra 6 2012 Grassmann secants, identifiability, and linear systems of tensors. Zbl 1255.14044Ballico, Edoardo; Bernardi, Alessandra; Catalisano, Maria Virginia; Chiantini, Luca 6 2013 Finite subsets of projective spaces with bad postulation in a fixed degree. Zbl 1285.14057Ballico, Edoardo 6 2013 An indecomposable rank-2 vector bundle the complete linear system of whose determinant consists of hyperelliptic curves. Zbl 0698.14009Ballico, Edoardo; Lanteri, Antonio 6 1989 The maximal rank conjecture for non special curves in \({\mathbb{P}}^ 3\). Zbl 0545.14019Ballico, E.; Ellia, Ph. 6 1985 Numerical invariants for bundles on blow-ups. Zbl 1042.14013Ballico, E.; Gasparim, E. 6 2002 On the postulation of many disjoint rational curves in \(P_ N\), N\(\geq 4\). Zbl 0603.14039Ballico, Edoardo; Ellia, Philippe 6 1985 Ramification points of double coverings of curves and Weierstrass points. Zbl 0977.14016Ballico, E.; Del Centina, A. 6 1999 On moduli of vector bundles on rational surfaces. Zbl 0611.14008Ballico, Edoardo 6 1987 On postulation of curves in \({\mathbb{P}}^4\). Zbl 0535.14015Ballico, Edoardo; Ellia, Philippe 6 1985 On postulation of curves: Embeddings by complete linear series. Zbl 0536.14010Ballico, Edoardo; Ellia, Philippe 6 1984 The locus of points of the Hilbert scheme with bounded regularity. Zbl 1333.14008Ballico, Edoardo; Bertone, Cristina; Roggero, Margherita 6 2015 The Hermitian null-range of a matrix over a finite field. Zbl 1397.15035Ballico, Edoardo 5 2018 On higher rank globally generated vector bundles over a smooth quadric threefold. Zbl 1350.14031Ballico, E.; Huh, S.; Malaspina, F. 5 2016 A zero-dimensional approach to Hermitian codes. Zbl 1332.94110Ballico, Edoardo; Ravagnani, Alberto 5 2015 On curves of genus eight. Zbl 0916.14015Ballico, E.; Keem, C.; Martens, G.; Ohbuchi, A. 5 1998 Vector bundles on a neighborhood of an exceptional curve and elementary transformations. Zbl 1077.14549Ballico, Edoardo; Gasparim, Elizabeth 5 2003 On the secant varieties to the tangent developable of a Veronese variety. Zbl 1072.14533Ballico, E. 5 2005 The dual geometry of Hermitian two-point codes. Zbl 1283.94138Ballico, Edoardo; Ravagnani, Alberto 5 2013 Postulation of general quartuple fat point schemes in \(\mathbb{P}^3\). Zbl 1170.14039Ballico, Edoardo; Brambilla, Maria Chiara 5 2009 Bonnes petites composantes des schémas de Hilbert de courbes lisses de \({\mathbb{P}}^ n\). (Good small components of Hilbert schemes of smooth curves in \({\mathbb{P}}^ n)\). Zbl 0712.14018Ballico, Edoardo; Ellia, Philippe 5 1988 On vector bundles on 3-folds with sectional genus 1. Zbl 0729.14030Ballico, Edoardo 5 1991 On the hypersurfaces containing a general projective curve. Zbl 0608.14007Ballico, E.; Ellia, Ph. 5 1986 Non-reflexive projective curves of low degree. Zbl 0744.14021Ballico, Edoardo; Hefez, Abramo 5 1991 A characterization of the Veronese surface. Zbl 0671.14019Ballico, Edoardo 5 1989 On the dimension of contact loci and the identifiability of tensors. Zbl 1464.14054Ballico, Edoardo; Bernardi, Alessandra; Chiantini, Luca 5 2018 Higher Hamming weights for locally recoverable codes on algebraic curves. Zbl 1409.94941Ballico, Edoardo; Marcolla, Chiara 5 2016 Bounds on the tensor rank. Zbl 1411.14058Ballico, Edoardo; Bernardi, Alessandra; Chiantini, Luca; Guardo, Elena 5 2018 Unique decomposition for a polynomial of low rank. Zbl 1297.14058Ballico, Edoardo; Bernardi, Alessandra 5 2013 A uniqueness result on the decompositions of a bi-homogeneous polynomial. Zbl 1362.14054Ballico, Edoardo; Bernardi, Alessandra 5 2017 Compactifications of adjoint orbits and their Hodge diamonds. Zbl 1388.14036Ballico, E.; Callander, B.; Gasparim, E. 4 2018 Maximal rank of space curves in the range A. Zbl 1430.14063Ballico, Edoardo; Ellia, Philippe; Fontanari, Claudio 4 2018 Curvilinear schemes and maximum rank of forms. Zbl 1402.14070Ballico, Edoardo; Bernardi, Alessandra 4 2017 Finite defective subsets of projective spaces. Zbl 1294.14018Ballico, Edoardo 4 2013 On double coverings of hyperelliptic curves. Zbl 1163.14306Ballico, E.; Keem, C. 4 2006 Postulation of general quintuple fat point schemes in \(\mathbb P^3\). Zbl 1262.14067Ballico, Edoardo; Brambilla, Maria Chiara; Caruso, Fabrizio; Sala, Massimiliano 4 2012 On the duals of geometric Goppa codes from norm-trace curves. Zbl 1308.94112Ballico, Edoardo; Ravagnani, Alberto 4 2013 Vector bundles near negative curves: moduli and local Euler characteristic. Zbl 1174.14037Ballico, E.; Gasparim, E.; Köppe, T. 4 2009 On the adjunction process over a surface in char.p. Zbl 0698.14034Andreatta, M.; Ballico, E. 4 1988 The variety of module structures. Zbl 0715.14019Ballico, Edoardo; Bolondi, Giorgio 4 1990 On the homogeneous ideal of projectively normal curves. Zbl 0716.14021Ballico, Edoardo 4 1989 On the postulation of canonical curves in \(\mathbb P^3\). Zbl 0546.14018Ballico, Edoardo 4 1984 Finite field Nullstellensatz and Grassmannians. Zbl 1066.14502Ballico, E.; Cossidente, A. 4 2001 On the projective normality of the adjunction bundles. — Appendix (by M. Andreatta, E. Ballico and A. J. Sommese). Zbl 0758.14035Andreatta, Marco; Sommese, Andrew J. 4 1991 Classification of irregular varieties. Minimal models and Abelian varieties. Proceedings of a conference, held in Trento, Italy, 17-21 December, 1990. Zbl 0744.00029 4 1992 On the adjunction mapping for surfaces of Kodaira dimension \(\leq{}0\) in char. p. Zbl 0762.14004Ballico, E.; Chiantini, L.; Monti, V. 4 1991 Projective manifolds containing large linear subspaces. Zbl 0787.14034Andreatta, M.; Ballico, E.; Wiśniewski, Jarosław A. 4 1992 On the general hyperplane section of a curve in char\( p\). Zbl 0789.14025Ballico, Edoardo 4 1990 Rank 2 vector bundles in a neighborhood of an exceptional curve of a smooth surface. Zbl 0993.14004Ballico, E. 4 1999 On the finite field Nullstellensatz. Zbl 1013.14001Ballico, E.; Cossidente, A. 4 2000 Normal bundle to curves in quadrics. Zbl 0527.14023Ballico, Edoardo 4 1981 Spanned and ample vector bundles with low Chern numbers. Zbl 0638.14010Ballico, E. 4 1989 On the postulation of disjoint rational curves in a projective space. Zbl 0652.14013Ballico, Edoardo 4 1986 Strict inclusions of high rank loci. Zbl 1476.14091Ballico, Edoardo; Bernardi, Alessandra; Ventura, Emanuele 1 2022 Infinite dimensional families of Calabi-Yau threefolds and moduli of vector bundles. Zbl 1453.32017Ballico, Edoardo; Gasparim, Elizabeth; Suzuki, Bruno 1 2021 Steiner systems and configurations of points. Zbl 07308507Ballico, Edoardo; Favacchio, Giuseppe; Guardo, Elena; Milazzo, Lorenzo 1 2021 On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^r\) of relatively high degree. Zbl 1427.14011Ballico, Edoardo; Fontanari, Claudio; Keem, Changho 1 2020 Linearly dependent subsets of Segre varieties. Zbl 1441.14173Ballico, E. 1 2020 On the partially symmetric rank of tensor products of \(W\)-states and other symmetric tensors. Zbl 1476.14090Ballico, Edoardo; Bernardi, Alessandra; Christandl, Matthias; Gesmundo, Fulvio 10 2019 Quantum physics and geometry. Zbl 1411.81023 3 2019 A note on the cactus rank for Segre-Veronese varieties. Zbl 1412.14030Ballico, Edoardo; Bernardi, Alessandra; Gesmundo, Fulvio 3 2019 A Lie theoretical construction of a Landau-Ginzburg model without projective mirrors. Zbl 1406.53087Ballico, E.; Barmeier, S.; Gasparim, E.; Grama, L.; San Martin, L. A. B. 3 2019 An effective criterion for the additive decompositions of forms. Zbl 1440.14238Ballico, Edoardo 2 2019 Numerical range over finite fields: restriction to subspaces. Zbl 1442.15035Ballico, E. 2 2019 2-nilpotent co-Higgs structures. Zbl 1455.14084Ballico, Edoardo; Huh, Sukmoon 2 2019 Twistor lines on algebraic surfaces. Zbl 07050118Altavilla, A.; Ballico, E. 2 2019 Existence of nontrivial logarithmic co-Higgs structure on curves. Zbl 1441.14113Ballico, Edoardo; Huh, Sukmoon 1 2019 Three topological results on the twistor discriminant locus in the 4-sphere. Zbl 1444.14037Altavilla, Amedeo; Ballico, Edoardo 1 2019 The numerical range of matrices over \(\mathbb{F}_4\). Zbl 1410.15042Ballico, Edoardo 1 2019 On the irreducibility of the Severi variety of nodal curves in a smooth surface. Zbl 1430.14062Ballico, Edoardo 1 2019 On the ranks of the third secant variety of Segre-Veronese embeddings. Zbl 1407.15032Ballico, Edoardo; Bernardi, Alessandra 1 2019 Logarithmic co-Higgs bundles. Zbl 1409.14076Ballico, Edoardo; Huh, Sukmoon 1 2019 The Hermitian null-range of a matrix over a finite field. Zbl 1397.15035Ballico, Edoardo 5 2018 On the dimension of contact loci and the identifiability of tensors. Zbl 1464.14054Ballico, Edoardo; Bernardi, Alessandra; Chiantini, Luca 5 2018 Bounds on the tensor rank. Zbl 1411.14058Ballico, Edoardo; Bernardi, Alessandra; Chiantini, Luca; Guardo, Elena 5 2018 Compactifications of adjoint orbits and their Hodge diamonds. Zbl 1388.14036Ballico, E.; Callander, B.; Gasparim, E. 4 2018 Maximal rank of space curves in the range A. Zbl 1430.14063Ballico, Edoardo; Ellia, Philippe; Fontanari, Claudio 4 2018 Corrigendum to: “On the numerical range of matrices over a finite field”. Zbl 1442.15051Ballico, E. 3 2018 Conformal automorphisms of algebraic surfaces and algebraic curves in the complex projective space. Zbl 1409.14074Ballico, Edoardo 3 2018 On the numerical range of square matrices with coefficients in a degree 2 Galois field extension. Zbl 1424.15038Ballico, Edoardo 1 2018 Typical and admissible ranks over fields. Zbl 1391.14106Ballico, Edoardo; Bernardi, Alessandra 1 2018 On the numerical range of matrices over a finite field. Zbl 1353.15028Ballico, E. 9 2017 Generic power sum decompositions and bounds for the Waring rank. Zbl 1369.15004Ballico, Edoardo; De Paris, Alessandro 7 2017 A uniqueness result on the decompositions of a bi-homogeneous polynomial. Zbl 1362.14054Ballico, Edoardo; Bernardi, Alessandra 5 2017 Curvilinear schemes and maximum rank of forms. Zbl 1402.14070Ballico, Edoardo; Bernardi, Alessandra 4 2017 A note on co-Higgs bundles. Zbl 1391.14083Ballico, Edoardo; Huh, Sukmoon 3 2017 Some Landau-Ginzburg models viewed as rational maps. Zbl 1365.14015Ballico, E.; Gasparim, E.; Grama, L.; San Martin, L. A. B. 2 2017 The \(b\)-secant variety of a smooth curve has a codimension 1 locally closed subset whose points have rank at least \(b + 1\). Zbl 1391.14105Ballico, Edoardo 1 2017 An interpolation problem for the normal bundle of curves of genus \(g\geq2\) and high degree in \(\mathbb{P}^r\). Zbl 1369.14039Ballico, E. 1 2017 The stratification by rank for homogeneous polynomials with border rank 5 which essentially depend on five variables. Zbl 1370.14046Ballico, Edoardo 1 2017 ACM sheaves of pure rank two on reducible hyperquadrics. Zbl 1419.14022Ballico, Edoardo; Huh, Sukmoon; Pons-Llopis, Joan 1 2017 On higher rank globally generated vector bundles over a smooth quadric threefold. Zbl 1350.14031Ballico, E.; Huh, S.; Malaspina, F. 5 2016 Higher Hamming weights for locally recoverable codes on algebraic curves. Zbl 1409.94941Ballico, Edoardo; Marcolla, Chiara 5 2016 Globally generated vector bundles on complete intersection Calabi-Yau threefolds. Zbl 1366.14040Ballico, Edoardo; Huh, Sukmoon; Malaspina, Francesco 3 2016 Postulation of disjoint unions of lines and a multiple point. II. Zbl 1346.14123Ballico, E. 3 2016 Subsets of the variety \(X\subset\mathbb{P}^n\) evincing the \(X\)-rank of a point of \(\mathbb{P}^n\). Zbl 1353.14063Ballico, E. 2 2016 Postulation of general unions of lines and double points in a higher dimensional projective space. Zbl 1346.14124Ballico, Edoardo 2 2016 On the maximal rank of a general union of a multiple linear space and a general rational curve. Zbl 1333.14051Ballico, Edoardo 1 2016 Globally generated vector bundles on \(\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1\) with low first Chern classes. Zbl 1341.14017Ballico, E.; Huh, S.; Malaspina, F. 1 2016 On Segre’s bound for fat points in \(\mathbb{P}^n\). Zbl 1332.13016Ballico, Edoardo; Dumitrescu, Olivia; Postinghel, Elisa 1 2016 Non-existence of smooth rational curves of degree \(d=13,14,15\) contained in a general quintic hypersurface of \(\mathbb{P}^4\) and in some quadric hypersurface. Zbl 1387.14109Ballico, Edoardo 1 2016 The locus of points of the Hilbert scheme with bounded regularity. Zbl 1333.14008Ballico, Edoardo; Bertone, Cristina; Roggero, Margherita 6 2015 A zero-dimensional approach to Hermitian codes. Zbl 1332.94110Ballico, Edoardo; Ravagnani, Alberto 5 2015 Postulation of general unions of lines and decorated lines. Zbl 1349.14168Ballico, Edoardo 2 2015 Globally generated vector bundles on a smooth quadric surface. Zbl 1314.14086Ballico, Edoardo; Huh, Sukmoon; Malaspina, Francesco 2 2015 Embedding Suzuki curves in \(\mathbb P^4\). Zbl 1327.14116Ballico, Edoardo; Ravagnani, Alberto 2 2015 On the Weierstrass semigroups of \(n\) points of a smooth curve. Zbl 1315.14043Ballico, E. 1 2015 Postulation of general unions of lines and multiplicity two points in \(\mathbb{P}^r,r \leq 5\). Zbl 1349.14169Ballico, Edoardo 1 2015 A Torelli-type problem for logarithmic bundles over projective varieties. Zbl 1349.14033Ballico, E.; Huh, Sukmoon; Malaspina, F. 1 2015 Postulation of a general union of an \(m\)-point and a general smooth rational curve. Zbl 1316.14099Ballico, E. 1 2015 Linear subspaces of matrices associated to a Ferrers diagram and with a prescribed lower bound for their rank. Zbl 1321.15033Ballico, E. 1 2015 Finiteness of rational curves of degree \(12\) on a general quintic threefold. Zbl 1362.14039Ballico, Edoardo; Fontanari, Claudio 1 2015 Globally generated vector bundles of rank 2 on a smooth quadric threefold. Zbl 1281.14038Ballico, Edoardo; Huh, Sukmoon; Malaspina, Francesco 10 2014 On the geometry of Hermitian one-point codes. Zbl 1343.94099Ballico, Edoardo; Ravagnani, Alberto 10 2014 Symmetric tensor rank and the identification of a point using linear spans of an embedded variety. Zbl 1309.14040Ballico, Edoardo 4 2014 Postulation of disjoint unions of lines and a multiple point. Zbl 1358.14035Aladpoosh, T.; Ballico, E. 4 2014 On the typical rank of real bivariate polynomials. Zbl 1302.14043Ballico, Edoardo 2 2014 Weierstrass gaps at \(n\) points of a curve. Zbl 1317.14070Ballico, E. 2 2014 Reflexive and spanned sheaves on \(\mathbb P^3\). Zbl 1304.14023Ballico, E.; Huh, S.; Malaspina, F. 1 2014 On the typical rank of real polynomials (or symmetric tensors) with a fixed border rank. Zbl 1308.14054Ballico, Edoardo 1 2014 Families of nodal curves in \(\mathbb {P}^r\) with the expected number of moduli. Zbl 1307.14033Ballico, Edoardo; Benzo, Luca; Fontanari, Claudio 1 2014 Postulation of general unions of decorated lines. Zbl 1291.14080Ballico, E. 1 2014 On the principle of real moduli flexibility: perfect parametrizations. Zbl 1308.14061Ballico, Edoardo; Ghiloni, Riccardo 1 2014 Any network code comes from an algebraic curve taking osculating spaces. Zbl 1301.14014Ballico, Edoardo 1 2014 Stratification of the fourth secant variety of Veronese varieties via the symmetric rank. Zbl 1317.14117Ballico, Edoardo; Bernardi, Alessandra 24 2013 Tensor ranks on tangent developable of Segre varieties. Zbl 1282.14090Ballico, Edoardo; Bernardi, Alessandra 16 2013 Sets computing the symmetric tensor rank. Zbl 1272.14039Ballico, Edoardo; Chiantini, Luca 10 2013 Grassmann secants, identifiability, and linear systems of tensors. Zbl 1255.14044Ballico, Edoardo; Bernardi, Alessandra; Catalisano, Maria Virginia; Chiantini, Luca 6 2013 Finite subsets of projective spaces with bad postulation in a fixed degree. Zbl 1285.14057Ballico, Edoardo 6 2013 The dual geometry of Hermitian two-point codes. Zbl 1283.94138Ballico, Edoardo; Ravagnani, Alberto 5 2013 Unique decomposition for a polynomial of low rank. Zbl 1297.14058Ballico, Edoardo; Bernardi, Alessandra 5 2013 Finite defective subsets of projective spaces. Zbl 1294.14018Ballico, Edoardo 4 2013 On the duals of geometric Goppa codes from norm-trace curves. Zbl 1308.94112Ballico, Edoardo; Ravagnani, Alberto 4 2013 An upper bound for the symmetric tensor rank of a low degree polynomial in a large number of variables. Zbl 1307.15035Ballico, E. 3 2013 Weighted hypersurfaces with either assigned volume or many vanishing plurigenera. Zbl 1288.14029Ballico, E.; Pignatelli, R.; Tasin, L. 2 2013 On the evaluation of multivariate polynomials over finite fields. Zbl 1303.11127Ballico, E.; Elia, M.; Sala, M. 2 2013 Real and complex rank for real symmetric tensors with low ranks. Zbl 1327.14232Ballico, Edoardo; Bernardi, Alessandra 2 2013 Codes coming from a blowing up of the plane. Zbl 1266.14017Ballico, E. 2 2013 An upper bound for the tensor rank. Zbl 1268.15026Ballico, E. 2 2013 The principle of moduli flexibility for real algebraic manifolds. Zbl 1292.14038Ballico, Edoardo; Ghiloni, Riccardo 2 2013 Generalized Hamming weights of codes obtained from smooth plane curves. Zbl 1381.94133Ballico, E. 1 2013 On the gonality sequence of smooth curves: normalizations of singular curves in a quadric surface. Zbl 1308.14033Ballico, Edoardo 1 2013 Symmetric tensor rank and scheme rank: an upper bound in terms of secant varieties. Zbl 1325.14071Ballico, E. 1 2013 On the dual minimum distance and minimum weight of codes from a quotient of the Hermitian curve. Zbl 1347.94077Ballico, Edoardo; Ravagnani, Alberto 1 2013 Minimal decomposition of binary forms with respect to tangential projections. Zbl 1273.14062Ballico, E.; Bernardi, A. 1 2013 Decomposition of homogeneous polynomials with low rank. Zbl 1252.14032Ballico, Edoardo; Bernardi, Alessandra 38 2012 A criterion for detecting the identifiability of symmetric tensors of size three. Zbl 1242.14051Ballico, Edoardo; Chiantini, Luca 9 2012 Higher secant varieties of \(\mathbb P^n \times \mathbb P^1\) embedded in bi-degree \((a, b)\). Zbl 1262.14066Ballico, Edoardo; Bernardi, Alessandra; Catalisano, Maria Virginia 7 2012 A partial stratification of secant varieties of Veronese varieties via curvilinear subschemes. Zbl 1261.14026Ballico, Edoardo; Bernardi, Alessandra 6 2012 Postulation of general quintuple fat point schemes in \(\mathbb P^3\). Zbl 1262.14067Ballico, Edoardo; Brambilla, Maria Chiara; Caruso, Fabrizio; Sala, Massimiliano 4 2012 Embeddings of general curves in projective spaces: the range of the quadrics. Zbl 1282.14054Ballico, Edoardo 3 2012 Symmetric tensor rank with a tangent vector: a generic uniqueness theorem. Zbl 1288.14036Ballico, Edoardo; Bernardi, Alessandra 2 2012 Embeddings of general curves in projective spaces in the range of the cubics. Zbl 1256.14029Ballico, Edoardo 2 2012 ...and 293 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 600 Authors 238 Ballico, Edoardo 21 Bernardi, Alessandra 21 Gasparim, Elizabeth 20 Keem, Changho 20 Malaspina, Francesco 19 Chiantini, Luca 15 Ellia, Philippe 15 Fontanari, Claudio 15 Lanteri, Antonio 14 Coppens, Marc 14 Martens, Gerriet 13 Migliore, Juan Carlos 12 Andreatta, Marco 11 Huh, Sukmoon 10 Bolondi, Giorgio 10 Catalisano, Maria Virginia 10 Mirò-Roig, Rosa Maria 10 Nagel, Uwe 9 Occhetta, Gianluca 9 Ottaviani, Giorgio Maria 8 Cossidente, Antonio 8 Newstead, Peter E. 8 Oneto, Alessandro 8 Roggero, Margherita 7 Gimigliano, Alessandro 7 Idà, Monica 7 Matthews, Gretchen L. 7 Miyazaki, Chikashi 7 Ventura, Emanuele 6 Angelini, Elena 6 Carlini, Enrico 6 Casnati, Gianfranco 6 Ciliberto, Ciro 6 Frediani, Paola 6 Hartshorne, Robin 6 Hirschowitz, André 6 Kim, Seonja 6 Mella, Massimiliano 6 Novelli, Carla 6 Villarreal, Rafael Heraclio 5 Bhosle, Usha N. 5 Brambilla, Maria Chiara 5 Farkas, Gavril 5 Flamini, Flaminio 5 Fukuma, Yoshiaki 5 Knutsen, Andreas Leopold 5 Lange, Herbert 5 Lopez, Angelo Felice 4 Abo, Hirotachi 4 Beltrametti, Mauro C. 4 Benzo, Luca 4 Bocci, Cristiano 4 Brambila-Paz, Gloria Leticia 4 Colombo, Elisabetta 4 Geramita, Anthony Vito 4 Gesmundo, Fulvio 4 Kato, Takao 4 Lella, Paolo 4 Massarenti, Alex 4 Muñoz, Roberto 4 Noma, Atsushi 4 Pareschi, Giuseppe 4 Solá-Conde, Luis-Eduardo 4 Sommese, Andrew John 4 Szemberg, Tomasz 4 Tenório, Wanderson 4 Torres, Fernando 4 Vaz Pinto, Maria 4 Walter, Charles H. 4 Wiśńiewski, Jarosław Antoni 3 Altavilla, Amedeo 3 Amasaki, Mutsumi 3 Asgarli, Shamil 3 Barmeier, Severin 3 Biswas, Indranil 3 Blekherman, Grigoriy 3 Buczyński, Jarosław 3 Calvo-Andrade, Omegar 3 Carvalho, Cícero F. 3 Casarotti, Alex 3 Choi, Youngook 3 Cioffi, Francesca 3 Costa, Laura 3 Del Centina, Andrea 3 Di Rocco, Sandra 3 Dolcetti, Alberto 3 Ein, Lawrence Man Hon 3 Faenzi, Daniele 3 Fania, Maria Lucia 3 Fløystad, Gunnar 3 Kim, Yun-Hwan 3 Köppe, Thomas 3 Landsberg, Joseph Montague 3 Marcolla, Chiara 3 Mourrain, Bernard 3 Oeding, Luke 3 Orecchia, Ferruccio 3 Postinghel, Elisa 3 Qi, Yang 3 Ravagnani, Alberto ...and 500 more Authors all top 5 Cited in 164 Serials 55 Journal of Pure and Applied Algebra 44 Journal of Algebra 35 Transactions of the American Mathematical Society 31 Communications in Algebra 30 Proceedings of the American Mathematical Society 29 Manuscripta Mathematica 26 Annali di Matematica Pura ed Applicata. 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Mathematics 3 ISRN Geometry 3 Arabian Journal of Mathematics 2 Bulletin of the Australian Mathematical Society 2 Communications in Mathematical Physics 2 International Journal of Theoretical Physics 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Beiträge zur Algebra und Geometrie 2 Canadian Mathematical Bulletin 2 Journal of Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Osaka Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Quaestiones Mathematicae 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Ricerche di Matematica 2 Note di Matematica 2 Discrete & Computational Geometry 2 Differential Geometry and its Applications 2 Geometric and Functional Analysis. GAFA 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Annals of Mathematics. 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Serie V 2 Cubo 2 Proceedings of the Steklov Institute of Mathematics 2 Algebra & Number Theory 2 Albanian Journal of Mathematics 2 Kyoto Journal of Mathematics 2 Afrika Matematika 1 Archive for History of Exact Sciences 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Lithuanian Mathematical Journal ...and 64 more Serials all top 5 Cited in 37 Fields 733 Algebraic geometry (14-XX) 101 Commutative algebra (13-XX) 96 Linear and multilinear algebra; matrix theory (15-XX) 48 Number theory (11-XX) 47 Several complex variables and analytic spaces (32-XX) 38 Information and communication theory, circuits (94-XX) 19 Differential geometry (53-XX) 14 Field theory and polynomials (12-XX) 11 Computer science (68-XX) 10 Manifolds and cell complexes (57-XX) 8 Functions of a complex variable (30-XX) 8 Geometry (51-XX) 8 Numerical analysis (65-XX) 7 Associative rings and algebras (16-XX) 6 Group theory and generalizations (20-XX) 5 Quantum theory (81-XX) 4 Combinatorics (05-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Convex and discrete geometry (52-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year