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## D’Andrea, Carlos

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 Author ID: dandrea.carlos Published as: D’Andrea, C.; D’Andrea, Carlos External Links: MGP
 Documents Indexed: 53 Publications since 1999 Reviewing Activity: 46 Reviews
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#### Co-Authors

 6 single-authored 11 Sombra, Martín 8 Cortadellas Benítez, Teresa 8 Krick, Teresa 7 Busé, Laurent 7 Szántó, Ágnes 4 Emiris, Ioannis Z. 2 Cox, David A. 2 Dickenstein, Alicia M. 2 Hong, Hoon 2 Jeronimo, Gabriela 2 Khetan, Amit 2 Ostafe, Alina 2 Shparlinski, Igor E. 2 Valdettaro, Marcelo 1 Bostan, Alin 1 Cattani, Eduardo H. 1 Chang, Mei-Chu 1 Chipalkatti, Jaydeep V. 1 Cid-Ruiz, Yairon 1 Enescu, Florian 1 Galligo, André 1 Gómez, Emiliano 1 Hare, Kevin G. 1 Lalín, Matilde N. 1 Montoro, Eulàlia 1 Montoro, M. Eulalia 1 Narváez-Clauss, Marta 1 Tabera, Luis Felipe 1 Weimann, Martin
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#### Serials

 7 Journal of Symbolic Computation 5 Journal of Algebra 4 Linear Algebra and its Applications 3 Journal of Pure and Applied Algebra 2 Communications in Algebra 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 Applicable Algebra in Engineering, Communication and Computing 1 American Mathematical Monthly 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Journal of Mathematics 1 Collectanea Mathematica 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Pacific Journal of Mathematics 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Computer Aided Geometric Design 1 Experimental Mathematics 1 La Gaceta de la Real Sociedad Matemática Española 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Algebra and its Applications 1 Butlletí de la Societat Catalana de Matemàtiques 1 Mathematics in Computer Science 1 Algebra & Number Theory
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#### Fields

 34 Commutative algebra (13-XX) 27 Algebraic geometry (14-XX) 13 Computer science (68-XX) 8 Numerical analysis (65-XX) 7 Field theory and polynomials (12-XX) 6 Number theory (11-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Convex and discrete geometry (52-XX) 3 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 285 times in 196 Documents Cited by Year
Implicitization of surfaces in $${\mathbb P}^ 3$$ in the presence of base points. Zbl 1068.14066
Busé, Laurent; Cox, David; D’Andrea, Carlos
2003
Explicit formulas for the multivariate resultant. Zbl 1066.14061
D’Andrea, Carlos; Dickenstein, Alicia
2001
Macaulay style formulas for sparse resultants. Zbl 0987.13019
D’Andrea, Carlos
2002
Heights of varieties in multiprojective spaces and arithmetic nullstellensätze. Zbl 1354.14038
D’Andrea, Carlos; Krick, Teresa; Sombra, Martín
2013
Resultants and moving surfaces. Zbl 1008.65010
D’Andrea, Carlos
2001
The $${\mathcal A}$$-hypergeometric system associated with a monomial curve. Zbl 0952.33009
Cattani, Eduardo; D’Andrea, Carlos; Dickenstein, Alicia
1999
Singular factors of rational plane curves. Zbl 1261.14032
Busé, Laurent; D’Andrea, Carlos
2012
An elementary proof of Sylvester’s double sums for subresultants. Zbl 1211.13021
D’Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes
2007
Implicitization of rational surfaces using toric varieties. Zbl 1115.14028
Khetan, Amit; D’Andrea, Carlos
2006
Inversion of parameterized hypersurfaces by means of subresultants. Zbl 1108.13312
Busé, Laurent; D’Andrea, Carlos
2004
Minimal generators of the defining ideal of the Rees algebra associated with a rational plane parametrization with $$\mu=2$$. Zbl 1310.13007
2014
Computing sparse projection operators. Zbl 1013.14017
D’Andrea, Carlos; Emiris, Ioannis Z.
2001
A Poisson formula for the sparse resultant. Zbl 1349.14160
D’Andrea, Carlos; Sombra, Martín
2015
Rational plane curves parameterizable by conics. Zbl 1408.14106
2013
Sylvester’s double sums: the general case. Zbl 1217.13013
D’Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes
2009
The Cayley–Menger determinant is irreducible for $$n\geq 3$$. Zbl 1081.52007
D’Andrea, Carlos; Sombra, Martín
2005
Hybrid sparse resultant matrices for bivariate polynomials. Zbl 1021.65024
D’Andrea, Carlos; Emiris, Ioannis Z.
2002
Subresultants in multiple roots. Zbl 1293.13009
D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes
2013
Minimal generators of the defining ideal of the Rees algebra associated to monoid parameterizations. Zbl 1210.65036
2010
Macaulay style formulas for toric residues. Zbl 1076.14081
D’Andrea, Carlos; Khetan, Amit
2005
Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems. Zbl 1403.37101
D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín
2019
The Rees algebra of a monomial plane parametrization. Zbl 1327.13018
2015
The Newton polygon of a rational plane curve. Zbl 1205.14039
D’Andrea, Carlos; Sombra, Martín
2010
Orbits of polynomial dynamical systems modulo primes. Zbl 1416.37081
Chang, Mei-Chu; D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín
2018
Subresultants, Sylvester sums and the rational interpolation problem. Zbl 1303.41003
D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes
2015
On the Jacobian ideal of the binary discriminant. Zbl 1124.13002
D’Andrea, Carlos; Chipalkatti, Jaydeep
2007
On the Mahler measure of resultants in small dimensions. Zbl 1110.11020
D’Andrea, Carlos; Lalín, Matilde N.
2007
On the structure of $$\mu$$-classes. Zbl 1058.14070
D’Andrea, Carlos
2004
Degree and birationality of multi-graded rational maps. Zbl 1454.13017
Busé, Laurent; Cid-Ruiz, Yairon; D’Andrea, Carlos
2020
Subresultants in multiple roots: an extremal case. Zbl 1372.13018
Bostan, A.; D’Andrea, C.; Krick, T.; Szanto, A.; Valdettaro, M.
2017
Quantitative equidistribution for the solutions of systems of sparse polynomial equations. Zbl 1316.30002
D’Andrea, Carlos; Galligo, André; Sombra, Martín
2014
Tropicalization and irreducibility of generalized Vandermonde determinants. Zbl 1229.12005
D’Andrea, Carlos; Tabera, Luis Felipe
2009
Multivariate subresultants in roots. Zbl 1106.15007
D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes
2006
Subresultants and generic monomial bases. Zbl 1120.13031
D’Andrea, Carlos; Jeronimo, Gabriela
2005
On the irreducibility of multivariate subresultants. Zbl 1048.12001
Busé, Laurent; D’Andrea, Carlos
2004
Hybrid sparse resultant matrices for bivariate systems. Zbl 1356.68274
D’Andrea, Carlos; Emiris, Ioannis Z.
2001
Moving curve ideals of rational plane parametrizations. Zbl 1439.14009
D’Andrea, Carlos
2015
Rational parametrizations, intersection theory, and Newton polytopes. Zbl 1181.14063
D’Andrea, Carlos; Sombra, Martín
2010
Rational formulas for traces in zero-dimensional algebras. Zbl 1175.13013
D’Andrea, Carlos; Jeronimo, Gabriela
2008
A matrix-based approach to properness and inversion problems for rational surfaces. Zbl 1108.14049
Busé, Laurent; D’Andrea, Carlos
2006
The broken spaghetti noodle. Zbl 1106.60010
D’Andrea, Carlos; Gómez, Emiliano
2006
On the height of the Sylvester resultant. Zbl 1116.11046
D’Andrea, Carlos; Hare, Kevin G.
2004
Sparse resultant perturbations. Zbl 1027.65054
D’Andrea, Carlos; Emiris, Ioannis Z.
2003
Degree and birationality of multi-graded rational maps. Zbl 1454.13017
Busé, Laurent; Cid-Ruiz, Yairon; D’Andrea, Carlos
2020
Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems. Zbl 1403.37101
D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín
2019
Orbits of polynomial dynamical systems modulo primes. Zbl 1416.37081
Chang, Mei-Chu; D’Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor E.; Sombra, Martín
2018
Subresultants in multiple roots: an extremal case. Zbl 1372.13018
Bostan, A.; D’Andrea, C.; Krick, T.; Szanto, A.; Valdettaro, M.
2017
A Poisson formula for the sparse resultant. Zbl 1349.14160
D’Andrea, Carlos; Sombra, Martín
2015
The Rees algebra of a monomial plane parametrization. Zbl 1327.13018
2015
Subresultants, Sylvester sums and the rational interpolation problem. Zbl 1303.41003
D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes
2015
Moving curve ideals of rational plane parametrizations. Zbl 1439.14009
D’Andrea, Carlos
2015
Minimal generators of the defining ideal of the Rees algebra associated with a rational plane parametrization with $$\mu=2$$. Zbl 1310.13007
2014
Quantitative equidistribution for the solutions of systems of sparse polynomial equations. Zbl 1316.30002
D’Andrea, Carlos; Galligo, André; Sombra, Martín
2014
Heights of varieties in multiprojective spaces and arithmetic nullstellensätze. Zbl 1354.14038
D’Andrea, Carlos; Krick, Teresa; Sombra, Martín
2013
Rational plane curves parameterizable by conics. Zbl 1408.14106
2013
Subresultants in multiple roots. Zbl 1293.13009
D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes
2013
Singular factors of rational plane curves. Zbl 1261.14032
Busé, Laurent; D’Andrea, Carlos
2012
Minimal generators of the defining ideal of the Rees algebra associated to monoid parameterizations. Zbl 1210.65036
2010
The Newton polygon of a rational plane curve. Zbl 1205.14039
D’Andrea, Carlos; Sombra, Martín
2010
Rational parametrizations, intersection theory, and Newton polytopes. Zbl 1181.14063
D’Andrea, Carlos; Sombra, Martín
2010
Sylvester’s double sums: the general case. Zbl 1217.13013
D’Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes
2009
Tropicalization and irreducibility of generalized Vandermonde determinants. Zbl 1229.12005
D’Andrea, Carlos; Tabera, Luis Felipe
2009
Rational formulas for traces in zero-dimensional algebras. Zbl 1175.13013
D’Andrea, Carlos; Jeronimo, Gabriela
2008
An elementary proof of Sylvester’s double sums for subresultants. Zbl 1211.13021
D’Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes
2007
On the Jacobian ideal of the binary discriminant. Zbl 1124.13002
D’Andrea, Carlos; Chipalkatti, Jaydeep
2007
On the Mahler measure of resultants in small dimensions. Zbl 1110.11020
D’Andrea, Carlos; Lalín, Matilde N.
2007
Implicitization of rational surfaces using toric varieties. Zbl 1115.14028
Khetan, Amit; D’Andrea, Carlos
2006
Multivariate subresultants in roots. Zbl 1106.15007
D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes
2006
A matrix-based approach to properness and inversion problems for rational surfaces. Zbl 1108.14049
Busé, Laurent; D’Andrea, Carlos
2006
The broken spaghetti noodle. Zbl 1106.60010
D’Andrea, Carlos; Gómez, Emiliano
2006
The Cayley–Menger determinant is irreducible for $$n\geq 3$$. Zbl 1081.52007
D’Andrea, Carlos; Sombra, Martín
2005
Macaulay style formulas for toric residues. Zbl 1076.14081
D’Andrea, Carlos; Khetan, Amit
2005
Subresultants and generic monomial bases. Zbl 1120.13031
D’Andrea, Carlos; Jeronimo, Gabriela
2005
Inversion of parameterized hypersurfaces by means of subresultants. Zbl 1108.13312
Busé, Laurent; D’Andrea, Carlos
2004
On the structure of $$\mu$$-classes. Zbl 1058.14070
D’Andrea, Carlos
2004
On the irreducibility of multivariate subresultants. Zbl 1048.12001
Busé, Laurent; D’Andrea, Carlos
2004
On the height of the Sylvester resultant. Zbl 1116.11046
D’Andrea, Carlos; Hare, Kevin G.
2004
Implicitization of surfaces in $${\mathbb P}^ 3$$ in the presence of base points. Zbl 1068.14066
Busé, Laurent; Cox, David; D’Andrea, Carlos
2003
Sparse resultant perturbations. Zbl 1027.65054
D’Andrea, Carlos; Emiris, Ioannis Z.
2003
Macaulay style formulas for sparse resultants. Zbl 0987.13019
D’Andrea, Carlos
2002
Hybrid sparse resultant matrices for bivariate polynomials. Zbl 1021.65024
D’Andrea, Carlos; Emiris, Ioannis Z.
2002
Explicit formulas for the multivariate resultant. Zbl 1066.14061
D’Andrea, Carlos; Dickenstein, Alicia
2001
Resultants and moving surfaces. Zbl 1008.65010
D’Andrea, Carlos
2001
Computing sparse projection operators. Zbl 1013.14017
D’Andrea, Carlos; Emiris, Ioannis Z.
2001
Hybrid sparse resultant matrices for bivariate systems. Zbl 1356.68274
D’Andrea, Carlos; Emiris, Ioannis Z.
2001
The $${\mathcal A}$$-hypergeometric system associated with a monomial curve. Zbl 0952.33009
Cattani, Eduardo; D’Andrea, Carlos; Dickenstein, Alicia
1999
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#### Cited by 213 Authors

 21 D’Andrea, Carlos 13 Busé, Laurent 12 Szántó, Ágnes 10 Emiris, Ioannis Z. 10 Krick, Teresa 10 Pérez-Díaz, Sonia 8 Shparlinski, Igor E. 7 Hong, Hoon 6 Chen, Falai 5 Dickenstein, Alicia M. 5 Galligo, André 5 Kustin, Andrew R. 5 Matusevich, Laura Felicia 5 Mourrain, Bernard 5 Simis, Aron 5 Sombra, Martín 4 Botbol, Nicolás 4 Chardin, Marc 4 Cortadellas Benítez, Teresa 4 Cox, David A. 4 Elkadi, Mohamed 4 Khetan, Amit 4 Konaxis, Christos 4 Minimair, Manfred 4 Polini, Claudia 4 Sendra, Juan Rafael 4 Tsigaridas, Elias P. 4 Valdettaro, Marcelo 4 Walther, Uli 4 Yuan, Chunming 3 Ba, Thang Luu 3 Blasco, Ángel 3 Gao, Xiaoshan 3 Jeronimo, Gabriela 3 Lai, Yisheng 3 Lalín, Matilde N. 3 Li, Wei 3 Mantzaflaris, Angelos 3 Ostafe, Alina 3 Rueda, Sonia L. 3 Sabia, Juan 3 Ulrich, Bernd 2 Berkesch Zamaere, Christine 2 Bostan, Alin 2 Castro-Jiménez, Francisco Jesús 2 Chang, Mei-Chu 2 Cid-Ruiz, Yairon 2 El Khoury, Sabine 2 Fernández-Fernández, María-Cruz 2 Forsgård, Jens 2 Goldman, Ron N. 2 Gonzalez-Vega, Laureano 2 Hassanzadeh Hafshejani, Seyed Hamid 2 Hoffman, Jerome William 2 Iarrobino, Anthony A. 2 Jouanolou, Jean-Pierre 2 Matera, Guillermo 2 Miller, Ezra 2 Morozov, Alexei Yurievich 2 Mukundan, Vivek 2 Pardo, Luis Miguel 2 Pérez, Mariana 2 Privitelli, Melina 2 Roy, Marie-Françoise 2 Sadykov, Timur Mradovich 2 Schost, Éric 2 Shakirov, Sh. R. 2 Shen, Liyong 2 Shi, Xiaoran 2 Soprunov, Ivan 2 Szpirglas, Aviva 2 Telen, Simon 2 Wang, Haohao 2 Weimann, Martin 1 Abbott, John A. 1 Abdesselam, Abdelmalek 1 Adkins, William A. 1 Akhtar, Reza 1 Alcazar, Juan Gerardo 1 Anokhina, A. S. 1 Armentano, Diego 1 Benedetto, Robert L. 1 Bigatti, Anna Maria 1 Bocci, Cristiano 1 Boswell, Jacob A. 1 Buchweitz, Ragnar-Olaf 1 Burity, Ricardo 1 Caravantes, Jorge 1 Carlini, Enrico 1 Cattani, Eduardo H. 1 Chèze, Guillaume 1 Chipalkatti, Jaydeep V. 1 Chtcherba, Arthur D. 1 Conca, Aldo 1 Csajbók, Bence 1 Cucker, Felipe 1 Dias, Thiago F. O. 1 Díaz-Toca, Gema María 1 Dill, Gabriel A. 1 Dimca, Alexandru ...and 113 more Authors
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#### Cited in 63 Serials

 54 Journal of Symbolic Computation 20 Journal of Algebra 15 Computer Aided Geometric Design 7 Journal of Pure and Applied Algebra 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 4 Journal of Complexity 4 Linear Algebra and its Applications 4 Foundations of Computational Mathematics 3 Mathematics of Computation 3 Beiträge zur Algebra und Geometrie 3 Advances in Mathematics 3 Mathematische Annalen 3 Advances in Applied Mathematics 3 Journal of Algebraic Combinatorics 3 Journal of Systems Science and Complexity 2 Communications in Algebra 2 Duke Mathematical Journal 2 Michigan Mathematical Journal 2 SIAM Journal on Matrix Analysis and Applications 2 Applicable Algebra in Engineering, Communication and Computing 2 Mathematics in Computer Science 2 Algebra & Number Theory 2 Journal of Commutative Algebra 1 Discrete Applied Mathematics 1 Theoretical and Mathematical Physics 1 Mathematics Magazine 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Collectanea Mathematica 1 Computing 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Theoretical Computer Science 1 Algorithmica 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Russian Mathematics 1 Journal of Algebraic Geometry 1 Journal de Théorie des Nombres de Bordeaux 1 Applied and Computational Harmonic Analysis 1 Algebra Colloquium 1 Finite Fields and their Applications 1 Doklady Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Algebra and its Applications 1 International Journal of Number Theory 1 Research in the Mathematical Sciences 1 Research in Number Theory 1 Journal of Siberian Federal University. Mathematics & Physics 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 31 Fields

 97 Algebraic geometry (14-XX) 88 Commutative algebra (13-XX) 56 Computer science (68-XX) 40 Numerical analysis (65-XX) 23 Number theory (11-XX) 20 Field theory and polynomials (12-XX) 15 Special functions (33-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Convex and discrete geometry (52-XX) 9 Combinatorics (05-XX) 8 Dynamical systems and ergodic theory (37-XX) 4 Associative rings and algebras (16-XX) 4 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 3 Real functions (26-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 2 Algebraic topology (55-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 $$K$$-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX)