Edit Profile (opens in new tab) Harbourne, Brian Compute Distance To: Compute Author ID: harbourne.brian Published as: Harbourne, Brian; Harbourne, B. External Links: MGP Documents Indexed: 81 Publications since 1985, including 1 Book 6 Contributions as Editor Co-Authors: 55 Co-Authors with 65 Joint Publications 765 Co-Co-Authors all top 5 Co-Authors 22 single-authored 13 Szemberg, Tomasz 10 Bauer, Thomas 10 Migliore, Juan Carlos 9 Roé, Joaquim 8 Geramita, Anthony Vito 8 Guardo, Elena 7 Dumnicki, Marcin 7 Tutaj-Gasińska, Halszka 6 Bocci, Cristiano 6 Cooper, Susan Marie 6 Di Rocco, Sandra 6 Gimigliano, Alessandro 6 Nagel, Uwe 5 Seceleanu, Alexandra 5 Van Tuyl, Adam 4 Idà, Monica 4 Küronya, Alex 3 Knutsen, Andreas Leopold 3 Miranda, Rick 3 Teitler, Zach 2 Carlini, Enrico 2 Ciliberto, Ciro 2 Farnik, Łucja 2 Fatabbi, Giuliana 2 Fitchett, Stephanie 2 Hanumanthu, Krishna 2 Holay, Sandeep H. 2 Huizenga, Jack 2 Lorenzini, Anna 2 Pokora, Piotr 2 Schenck, Hal 2 Szpond, Justyna 1 Catalisano, Maria Virginia 1 Cook, David II 1 Favacchio, Giuseppe 1 Hà, Huy Tài 1 Huneke, Craig L. 1 Hwang, Jun-Muk 1 Jabbusch, Kelly 1 Janssen, Mike 1 Kapustka, Michał 1 Kettinger, Jake 1 Lahyane, Mustapha 1 Lang, William E. 1 Lundman, Anders 1 Malara, Grzegorz 1 Mirò-Roig, Rosa Maria 1 Müller-Stach, Stefan J. 1 Nickel, Matthias 1 Ranestad, Kristian 1 Roulleau, Xavier 1 Shin, Yong Su 1 Speiser, Robert 1 Syzdek, Wioletta Danuta 1 Vu, Thanh 1 Zimmitti, Frank all top 5 Serials 12 Journal of Algebra 9 Journal of Pure and Applied Algebra 6 Transactions of the American Mathematical Society 4 Proceedings of the American Mathematical Society 4 Oberwolfach Reports 3 Advances in Mathematics 3 Collectanea Mathematica 3 IMRN. International Mathematics Research Notices 2 Canadian Journal of Mathematics 2 Duke Mathematical Journal 2 Journal of Algebraic Combinatorics 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Compositio Mathematica 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico 1 Journal of the Ramanujan Mathematical Society 1 Linear Algebra and its Applications 1 Journal of Algebraic Geometry 1 Communications in Analysis and Geometry 1 Revista Matemática Complutense 1 Advances in Geometry 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Contemporary Mathematics 1 Lecture Notes of the Unione Matematica Italiana 1 Electronic Research Announcements in Mathematical Sciences 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 European Journal of Mathematics all top 5 Fields 86 Algebraic geometry (14-XX) 48 Commutative algebra (13-XX) 6 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Convex and discrete geometry (52-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 1,172 times in 424 Documents Cited by ▼ Year ▼ Comparing powers and symbolic powers of ideals. Zbl 1198.14001Bocci, Cristiano; Harbourne, Brian 96 2010 Star configurations in \(\mathbb{P}^n\). Zbl 1284.14073Geramita, A. V.; Harbourne, B.; Migliore, J. 62 2013 A primer on Seshadri constants. Zbl 1184.14008Bauer, Thomas; Di Rocco, Sandra; Harbourne, Brian; Kapustka, Michał; Knutsen, Andreas; Syzdek, Wioletta; Szemberg, Tomasz 59 2009 Are symbolic powers highly evolved? Zbl 1296.13018Harbourne, Brian; Huneke, Craig 53 2013 Complete linear systems on rational surfaces. Zbl 0609.14004Harbourne, Brian 41 1985 Anticanonical rational surfaces. Zbl 0860.14006Harbourne, Brian 40 1997 The resurgence of ideals of points and the containment problem. Zbl 1200.14018Bocci, Cristiano; Harbourne, Brian 38 2010 The geometry of rational surfaces and Hilbert functions of points in the plane. Zbl 0611.14002Harbourne, Brian 36 1986 Asymptotic resurgences for ideals of positive dimensional subschemes of projective space. Zbl 1296.13017Guardo, Elena; Harbourne, Brian; Van Tuyl, Adam 32 2013 Resurgences for ideals of special point configurations in \(\mathbb P^N\) coming from hyperplane arrangements. Zbl 1329.13035Dumnicki, M.; Harbourne, B.; Nagel, U.; Seceleanu, A.; Szemberg, T.; Tutaj-Gasińska, H. 32 2015 Line arrangements and configurations of points with an unexpected geometric property. Zbl 1408.14174Cook, D. II; Harbourne, B.; Migliore, J.; Nagel, U. 29 2018 Bounded negativity and arrangements of lines. Zbl 1330.14007Bauer, Thomas; Di Rocco, Sandra; Harbourne, Brian; Huizenga, Jack; Lundman, Anders; Pokora, Piotr; Szemberg, Tomasz 27 2015 The Waldschmidt constant for squarefree monomial ideals. Zbl 1352.13012Bocci, Cristiano; Cooper, Susan; Guardo, Elena; Harbourne, Brian; Janssen, Mike; Nagel, Uwe; Seceleanu, Alexandra; Van Tuyl, Adam; Vu, Thanh 27 2016 Linear subspaces, symbolic powers and Nagata type conjectures. Zbl 1286.13002Dumnicki, Marcin; Harbourne, Brian; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 26 2014 Containment results for ideals of various configurations of points in \(\mathbb P^N\). Zbl 1285.13029Bocci, Cristiano; Cooper, Susan M.; Harbourne, Brian 25 2014 Free resolutions of fat point ideals on \(\mathbb{P}^2\). Zbl 0901.14030Harbourne, Brian 25 1998 Rational surfaces with \(K^ 2>0\). Zbl 0874.14025Harbourne, Brian 24 1996 Containment counterexamples for ideals of various configurations of points in \(\mathbb{P}^N\). Zbl 1318.13031Harbourne, Brian; Seceleanu, Alexandra 23 2015 Negative curves on algebraic surfaces. Zbl 1272.14009Bauer, Thomas; Harbourne, Brian; Knutsen, Andreas Leopold; Küronya, Alex; Müller-Stach, Stefan; Roulleau, Xavier; Szemberg, Tomasz 23 2013 Combinatorial bounds on Hilbert functions of fat points in projective space. Zbl 1221.14063Cooper, Susan; Harbourne, Brian; Teitler, Zach 21 2011 Global aspects of the geometry of surfaces. Zbl 1247.14006Harbourne, Brian 21 2010 Matroid configurations and symbolic powers of their ideals. Zbl 1391.14109Geramita, A. V.; Harbourne, B.; Migliore, J.; Nagel, U. 21 2017 Blowings-up of \({\mathbb{P}}^ 2\) and their blowings-down. Zbl 0577.14025Harbourne, Brian 18 1985 Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property. Zbl 1242.13016Harbourne, Brian; Schenck, Hal; Seceleanu, Alexandra 18 2011 Resolutions of fat points ideals involving eight general point of \(\mathbb{P}^2\). Zbl 1033.14031Fitchett, Stephanie; Harbourne, Brian; Holay, Sandeep 16 2001 Linear systems with multiple base points in \(\mathbb P^2\). Zbl 1080.14505Harbourne, Brian; Roé, Joaquim 16 2004 The ideal generation problem for fat points. Zbl 0942.14024Harbourne, Brian 16 2000 Classifying Hilbert functions of fat point subschemes in \(\mathbb{P}^2\). Zbl 1186.14008Geramita, A. V.; Harbourne, Brian; Migliore, Juan 15 2009 Resolutions of ideals of any six fat points in \(\mathbb{P}^{2}\). Zbl 1139.14041Guardo, Elena; Harbourne, Brian 15 2007 Seshadri constants and very ample divisors on algebraic surfaces. Zbl 1053.14008Harbourne, Brian 15 2003 Resolutions of ideals of quasiuniform fat point subschemes of \(\mathbb{P}^2\). Zbl 1028.14020Harbourne, Brian; Holay, Sandeep; Fitchett, Stephanie 15 2003 Variations of Nagata’s conjecture. Zbl 1317.14017Ciliberto, Ciro; Harbourne, Brian; Miranda, Rick; Roé, Joaquim 14 2013 An algorithm for fat points on \(\mathbb{P}^2\). Zbl 0963.14021Harbourne, Brian 14 2000 Rational surfaces with infinite automorphism group and no antipluricanonical curve. Zbl 0643.14019Harbourne, Brian 13 1987 Projectively normal but superabundant embeddings of rational surfaces in projective space. Zbl 0862.14025Geramita, Anthony V.; Gimigliano, Alessandro; Harbourne, Brian 11 1994 Problems and progress: A survey on fat points in \(\mathbb{P}^2\). Zbl 1052.14052Harbourne, Brian 11 2002 Symbolic powers versus regular powers of ideals of general points in \(\mathbb{P}^1 \times \mathbb{P}^1\). Zbl 1317.13046Guardo, Elena; Harbourne, Brian; Van Tuyl, Adam 11 2013 Discrete behavior of Seshadri constants on surfaces. Zbl 1132.14004Harbourne, Brian; Roé, Joaquim 10 2008 Irreducibility of \(-1\)-classes on anticanonical rational surfaces and finite generation of the effective monoid. Zbl 1109.14030Lahyane, Mustapha; Harbourne, Brian 10 2005 On Nagata’s conjecture. Zbl 1014.14007Harbourne, Brian 10 2001 Very ample divisors on rational surfaces. Zbl 0545.14003Harbourne, Brian 9 1985 Multiple fibers on rational elliptic surfaces. Zbl 0674.14027Harbourne, Brian; Lang, William E. 9 1988 Asymptotics of linear systems, with connections to line arrangements. Zbl 1400.14028Harbourne, Brian 9 2018 Recent developments and open problems in linear series. Zbl 1254.14001Bauer, Thomas; Bocci, Cristiano; Cooper, Susan; Di Rocco, Sandra; Dumnicki, Marcin; Harbourne, Brian; Jabbusch, Kelly; Knutsen, Andreas; Küronya, Alex; Miranda, Rick; Roé, Joaquim; Schenck, Hal; Szemberg, Tomasz; Teitler, Zach 8 2012 Inductively computable unions of fat linear subspaces. Zbl 1348.13029Fatabbi, Giuliana; Harbourne, Brian; Lorenzini, Anna 8 2015 Points in good position in \(\mathbb{P}^ 2\). Zbl 0820.14034Harbourne, Brian 7 1994 Regina lectures on fat points. Zbl 1315.14012Cooper, Susan M.; Harbourne, Brian 7 2014 Birational morphisms of rational surfaces. Zbl 0883.14017Harbourne, Brian 7 1997 Computing multi-point seshadri constants on \(\mathbb{P}^2\). Zbl 1185.14005Harbourne, Brian; Roé, Joaquim 7 2009 Resolutions of ideals of fat points with support in a hyperplane. Zbl 1160.13006Fatabbi, Giuliana; Harbourne, Brian; Lorenzini, Anna 6 2006 Fat lines in \(\mathbb P^3\): powers versus symbolic powers. Zbl 1291.13033Guardo, Elena; Harbourne, Brian; Van Tuyl, Adam 6 2013 Ideals of powers and powers of ideals. Intersecting algebra, geometry, and combinatorics. Zbl 1445.13001Carlini, Enrico; Hà, Huy Tài; Harbourne, Brian; Van Tuyl, Adam 5 2020 Betti numbers for fat point ideals in the plane: A geometric approach. Zbl 1170.14006Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica 5 2009 Secant varieties of the varieties of reducible hypersurfaces in \(\mathbb{P}^n\). Zbl 1422.14057Catalisano, M. V.; Geramita, A. V.; Gimigliano, A.; Harbourne, B.; Migliore, J.; Nagel, U.; Shin, Y. S. 5 2019 Multipoint Seshadri constants on \(\mathbb P^2\). Zbl 1177.14065Harbourne, B.; Roé, J. 4 2005 On plane rational curves and the splitting of the tangent bundle. Zbl 1434.14004Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica 4 2013 Exceptional curves on rational numerically elliptic surfaces. Zbl 0711.14020Harbourne, Brian; Miranda, Rick 4 1990 The role of the cotangent bundle in resolving ideals of fat points in the plane. Zbl 1161.14012Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica 3 2009 Very general monomial valuations of \(\mathbb{P}^2\) and a Nagata-type conjecture. Zbl 1386.14038Dumnicki, Marcin; Harbourne, Brian; Küronya, Alex; Roé, Joaquim; Szemberg, Tomasz 3 2017 New constructions of unexpected hypersurfaces in \(\mathbb{P}^n\). Zbl 1459.14021Harbourne, Brian; Migliore, Juan; Tutaj-Gasińska, Halszka 3 2021 Unexpected hypersurfaces and where to find them. Zbl 1469.14107Harbourne, B.; Migliore, J.; Nagel, U.; Teitler, Z. 3 2021 Configuration types and cubic surfaces. Zbl 1154.14027Guardo, Elena; Harbourne, Brian 2 2008 Automorphisms of K3-like rational surfaces. Zbl 0651.14023Harbourne, Brian 2 1987 Projective varieties with unexpected properties. A volume in memory of Giuseppe Veronese. Proceedings of the international conference “Varieties with unexpected properties”, Siena, Italy, June 8–13, 2004. Zbl 1089.14001 2 2005 Stable postulation and stable ideal generation: conjectures for fat points in the plane. Zbl 1187.14010Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica 2 2009 A matrixwise approach to unexpected hypersurfaces. Zbl 07188930Dumnicki, Marcin; Farnik, Łucja; Harbourne, Brian; Malara, Grzegorz; Szpond, Justyna; Tutaj-Gasińska, Halszka 2 2020 Unexpected surfaces singular on lines in \(\mathbb{P}^3\). Zbl 1467.14018Dumnicki, Marcin; Harbourne, Brian; Roé, Joaquim; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 2 2021 Negative curves on symmetric blowups of the projective plane, resurgences, and Waldschmidt constants. Zbl 1477.14013Bauer, Thomas; Di Rocco, Sandra; Harbourne, Brian; Huizenga, Jack; Seceleanu, Alexandra; Szemberg, Tomasz 2 2019 Automorphisms of cuspidal K3-like surfaces. Zbl 0751.14004Harbourne, Brian 1 1991 Mini-workshop: Ideals of linear subspaces, their symbolic powers and Waring problems. Abstracts from the mini-workshop held February 15–21, 2015. Zbl 1349.00072 1 2015 The (unexpected) importance of knowing \(\alpha\). Zbl 1101.14010Harbourne, Brian 1 2005 Single point Seshadri constants on rational surfaces. Zbl 1388.14029Hanumanthu, Krishna; Harbourne, Brian 1 2018 Veneroni maps. Zbl 1453.14043Dumnicki, Marcin; Farnik, Łucja; Harbourne, Brian; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 1 2020 Expecting the unexpected: quantifying the persistence of unexpected hypersurfaces. Zbl 1473.13016Favacchio, G.; Guardo, E.; Harbourne, B.; Migliore, J. 1 2021 Real and complex supersolvable line arrangements in the projective plane. Zbl 1475.14107Hanumanthu, Krishna; Harbourne, Brian 1 2021 New constructions of unexpected hypersurfaces in \(\mathbb{P}^n\). Zbl 1459.14021Harbourne, Brian; Migliore, Juan; Tutaj-Gasińska, Halszka 3 2021 Unexpected hypersurfaces and where to find them. Zbl 1469.14107Harbourne, B.; Migliore, J.; Nagel, U.; Teitler, Z. 3 2021 Unexpected surfaces singular on lines in \(\mathbb{P}^3\). Zbl 1467.14018Dumnicki, Marcin; Harbourne, Brian; Roé, Joaquim; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 2 2021 Expecting the unexpected: quantifying the persistence of unexpected hypersurfaces. Zbl 1473.13016Favacchio, G.; Guardo, E.; Harbourne, B.; Migliore, J. 1 2021 Real and complex supersolvable line arrangements in the projective plane. Zbl 1475.14107Hanumanthu, Krishna; Harbourne, Brian 1 2021 Ideals of powers and powers of ideals. Intersecting algebra, geometry, and combinatorics. Zbl 1445.13001Carlini, Enrico; Hà, Huy Tài; Harbourne, Brian; Van Tuyl, Adam 5 2020 A matrixwise approach to unexpected hypersurfaces. Zbl 07188930Dumnicki, Marcin; Farnik, Łucja; Harbourne, Brian; Malara, Grzegorz; Szpond, Justyna; Tutaj-Gasińska, Halszka 2 2020 Veneroni maps. Zbl 1453.14043Dumnicki, Marcin; Farnik, Łucja; Harbourne, Brian; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 1 2020 Secant varieties of the varieties of reducible hypersurfaces in \(\mathbb{P}^n\). Zbl 1422.14057Catalisano, M. V.; Geramita, A. V.; Gimigliano, A.; Harbourne, B.; Migliore, J.; Nagel, U.; Shin, Y. S. 5 2019 Negative curves on symmetric blowups of the projective plane, resurgences, and Waldschmidt constants. Zbl 1477.14013Bauer, Thomas; Di Rocco, Sandra; Harbourne, Brian; Huizenga, Jack; Seceleanu, Alexandra; Szemberg, Tomasz 2 2019 Line arrangements and configurations of points with an unexpected geometric property. Zbl 1408.14174Cook, D. II; Harbourne, B.; Migliore, J.; Nagel, U. 29 2018 Asymptotics of linear systems, with connections to line arrangements. Zbl 1400.14028Harbourne, Brian 9 2018 Single point Seshadri constants on rational surfaces. Zbl 1388.14029Hanumanthu, Krishna; Harbourne, Brian 1 2018 Matroid configurations and symbolic powers of their ideals. Zbl 1391.14109Geramita, A. V.; Harbourne, B.; Migliore, J.; Nagel, U. 21 2017 Very general monomial valuations of \(\mathbb{P}^2\) and a Nagata-type conjecture. Zbl 1386.14038Dumnicki, Marcin; Harbourne, Brian; Küronya, Alex; Roé, Joaquim; Szemberg, Tomasz 3 2017 The Waldschmidt constant for squarefree monomial ideals. Zbl 1352.13012Bocci, Cristiano; Cooper, Susan; Guardo, Elena; Harbourne, Brian; Janssen, Mike; Nagel, Uwe; Seceleanu, Alexandra; Van Tuyl, Adam; Vu, Thanh 27 2016 Resurgences for ideals of special point configurations in \(\mathbb P^N\) coming from hyperplane arrangements. Zbl 1329.13035Dumnicki, M.; Harbourne, B.; Nagel, U.; Seceleanu, A.; Szemberg, T.; Tutaj-Gasińska, H. 32 2015 Bounded negativity and arrangements of lines. Zbl 1330.14007Bauer, Thomas; Di Rocco, Sandra; Harbourne, Brian; Huizenga, Jack; Lundman, Anders; Pokora, Piotr; Szemberg, Tomasz 27 2015 Containment counterexamples for ideals of various configurations of points in \(\mathbb{P}^N\). Zbl 1318.13031Harbourne, Brian; Seceleanu, Alexandra 23 2015 Inductively computable unions of fat linear subspaces. Zbl 1348.13029Fatabbi, Giuliana; Harbourne, Brian; Lorenzini, Anna 8 2015 Mini-workshop: Ideals of linear subspaces, their symbolic powers and Waring problems. Abstracts from the mini-workshop held February 15–21, 2015. Zbl 1349.00072 1 2015 Linear subspaces, symbolic powers and Nagata type conjectures. Zbl 1286.13002Dumnicki, Marcin; Harbourne, Brian; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 26 2014 Containment results for ideals of various configurations of points in \(\mathbb P^N\). Zbl 1285.13029Bocci, Cristiano; Cooper, Susan M.; Harbourne, Brian 25 2014 Regina lectures on fat points. Zbl 1315.14012Cooper, Susan M.; Harbourne, Brian 7 2014 Star configurations in \(\mathbb{P}^n\). Zbl 1284.14073Geramita, A. V.; Harbourne, B.; Migliore, J. 62 2013 Are symbolic powers highly evolved? Zbl 1296.13018Harbourne, Brian; Huneke, Craig 53 2013 Asymptotic resurgences for ideals of positive dimensional subschemes of projective space. Zbl 1296.13017Guardo, Elena; Harbourne, Brian; Van Tuyl, Adam 32 2013 Negative curves on algebraic surfaces. Zbl 1272.14009Bauer, Thomas; Harbourne, Brian; Knutsen, Andreas Leopold; Küronya, Alex; Müller-Stach, Stefan; Roulleau, Xavier; Szemberg, Tomasz 23 2013 Variations of Nagata’s conjecture. Zbl 1317.14017Ciliberto, Ciro; Harbourne, Brian; Miranda, Rick; Roé, Joaquim 14 2013 Symbolic powers versus regular powers of ideals of general points in \(\mathbb{P}^1 \times \mathbb{P}^1\). Zbl 1317.13046Guardo, Elena; Harbourne, Brian; Van Tuyl, Adam 11 2013 Fat lines in \(\mathbb P^3\): powers versus symbolic powers. Zbl 1291.13033Guardo, Elena; Harbourne, Brian; Van Tuyl, Adam 6 2013 On plane rational curves and the splitting of the tangent bundle. Zbl 1434.14004Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica 4 2013 Recent developments and open problems in linear series. Zbl 1254.14001Bauer, Thomas; Bocci, Cristiano; Cooper, Susan; Di Rocco, Sandra; Dumnicki, Marcin; Harbourne, Brian; Jabbusch, Kelly; Knutsen, Andreas; Küronya, Alex; Miranda, Rick; Roé, Joaquim; Schenck, Hal; Szemberg, Tomasz; Teitler, Zach 8 2012 Combinatorial bounds on Hilbert functions of fat points in projective space. Zbl 1221.14063Cooper, Susan; Harbourne, Brian; Teitler, Zach 21 2011 Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property. Zbl 1242.13016Harbourne, Brian; Schenck, Hal; Seceleanu, Alexandra 18 2011 Comparing powers and symbolic powers of ideals. Zbl 1198.14001Bocci, Cristiano; Harbourne, Brian 96 2010 The resurgence of ideals of points and the containment problem. Zbl 1200.14018Bocci, Cristiano; Harbourne, Brian 38 2010 Global aspects of the geometry of surfaces. Zbl 1247.14006Harbourne, Brian 21 2010 A primer on Seshadri constants. Zbl 1184.14008Bauer, Thomas; Di Rocco, Sandra; Harbourne, Brian; Kapustka, Michał; Knutsen, Andreas; Syzdek, Wioletta; Szemberg, Tomasz 59 2009 Classifying Hilbert functions of fat point subschemes in \(\mathbb{P}^2\). Zbl 1186.14008Geramita, A. V.; Harbourne, Brian; Migliore, Juan 15 2009 Computing multi-point seshadri constants on \(\mathbb{P}^2\). Zbl 1185.14005Harbourne, Brian; Roé, Joaquim 7 2009 Betti numbers for fat point ideals in the plane: A geometric approach. Zbl 1170.14006Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica 5 2009 The role of the cotangent bundle in resolving ideals of fat points in the plane. Zbl 1161.14012Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica 3 2009 Stable postulation and stable ideal generation: conjectures for fat points in the plane. Zbl 1187.14010Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica 2 2009 Discrete behavior of Seshadri constants on surfaces. Zbl 1132.14004Harbourne, Brian; Roé, Joaquim 10 2008 Configuration types and cubic surfaces. Zbl 1154.14027Guardo, Elena; Harbourne, Brian 2 2008 Resolutions of ideals of any six fat points in \(\mathbb{P}^{2}\). Zbl 1139.14041Guardo, Elena; Harbourne, Brian 15 2007 Resolutions of ideals of fat points with support in a hyperplane. Zbl 1160.13006Fatabbi, Giuliana; Harbourne, Brian; Lorenzini, Anna 6 2006 Irreducibility of \(-1\)-classes on anticanonical rational surfaces and finite generation of the effective monoid. Zbl 1109.14030Lahyane, Mustapha; Harbourne, Brian 10 2005 Multipoint Seshadri constants on \(\mathbb P^2\). Zbl 1177.14065Harbourne, B.; Roé, J. 4 2005 Projective varieties with unexpected properties. A volume in memory of Giuseppe Veronese. Proceedings of the international conference “Varieties with unexpected properties”, Siena, Italy, June 8–13, 2004. Zbl 1089.14001 2 2005 The (unexpected) importance of knowing \(\alpha\). Zbl 1101.14010Harbourne, Brian 1 2005 Linear systems with multiple base points in \(\mathbb P^2\). Zbl 1080.14505Harbourne, Brian; Roé, Joaquim 16 2004 Seshadri constants and very ample divisors on algebraic surfaces. Zbl 1053.14008Harbourne, Brian 15 2003 Resolutions of ideals of quasiuniform fat point subschemes of \(\mathbb{P}^2\). Zbl 1028.14020Harbourne, Brian; Holay, Sandeep; Fitchett, Stephanie 15 2003 Problems and progress: A survey on fat points in \(\mathbb{P}^2\). Zbl 1052.14052Harbourne, Brian 11 2002 Resolutions of fat points ideals involving eight general point of \(\mathbb{P}^2\). Zbl 1033.14031Fitchett, Stephanie; Harbourne, Brian; Holay, Sandeep 16 2001 On Nagata’s conjecture. Zbl 1014.14007Harbourne, Brian 10 2001 The ideal generation problem for fat points. Zbl 0942.14024Harbourne, Brian 16 2000 An algorithm for fat points on \(\mathbb{P}^2\). Zbl 0963.14021Harbourne, Brian 14 2000 Free resolutions of fat point ideals on \(\mathbb{P}^2\). Zbl 0901.14030Harbourne, Brian 25 1998 Anticanonical rational surfaces. Zbl 0860.14006Harbourne, Brian 40 1997 Birational morphisms of rational surfaces. Zbl 0883.14017Harbourne, Brian 7 1997 Rational surfaces with \(K^ 2>0\). Zbl 0874.14025Harbourne, Brian 24 1996 Projectively normal but superabundant embeddings of rational surfaces in projective space. Zbl 0862.14025Geramita, Anthony V.; Gimigliano, Alessandro; Harbourne, Brian 11 1994 Points in good position in \(\mathbb{P}^ 2\). Zbl 0820.14034Harbourne, Brian 7 1994 Automorphisms of cuspidal K3-like surfaces. Zbl 0751.14004Harbourne, Brian 1 1991 Exceptional curves on rational numerically elliptic surfaces. Zbl 0711.14020Harbourne, Brian; Miranda, Rick 4 1990 Multiple fibers on rational elliptic surfaces. Zbl 0674.14027Harbourne, Brian; Lang, William E. 9 1988 Rational surfaces with infinite automorphism group and no antipluricanonical curve. Zbl 0643.14019Harbourne, Brian 13 1987 Automorphisms of K3-like rational surfaces. Zbl 0651.14023Harbourne, Brian 2 1987 The geometry of rational surfaces and Hilbert functions of points in the plane. Zbl 0611.14002Harbourne, Brian 36 1986 Complete linear systems on rational surfaces. Zbl 0609.14004Harbourne, Brian 41 1985 Blowings-up of \({\mathbb{P}}^ 2\) and their blowings-down. Zbl 0577.14025Harbourne, Brian 18 1985 Very ample divisors on rational surfaces. Zbl 0545.14003Harbourne, Brian 9 1985 all cited Publications top 5 cited Publications all top 5 Cited by 382 Authors 44 Harbourne, Brian 22 Szemberg, Tomasz 22 Tutaj-Gasińska, Halszka 20 Guardo, Elena 18 Dumnicki, Marcin 18 Szpond, Justyna 16 Migliore, Juan Carlos 15 Nagel, Uwe 13 Pokora, Piotr 13 Shin, Yong Su 13 Van Tuyl, Adam 12 Lahyane, Mustapha 12 Seceleanu, Alexandra 11 Carlini, Enrico 11 Catalisano, Maria Virginia 11 Hanumanthu, Krishna 11 Malara, Grzegorz 11 Mirò-Roig, Rosa Maria 11 Roé, Joaquim 10 Bocci, Cristiano 10 Geramita, Anthony Vito 10 Gimigliano, Alessandro 10 Tohǎneanu, Ştefan O. 9 Hà, Huy Tài 9 Laface, Antonio 8 Bauer, Thomas 8 Cooper, Susan Marie 8 Dimca, Alexandru 8 Farnik, Łucja 8 Frías Medina, Juan Bosco 8 Haghighi, Hassan 7 Favacchio, Giuseppe 7 Lampa-Baczyńska, Magdalena 7 Lorenzini, Anna 7 Monserrat, Francisco 7 Mosakhani, Mohammad 6 de la Rosa Navarro, Brenda Leticia 6 Fatabbi, Giuliana 6 Galindo Pastor, Carlos 6 Idà, Monica 6 Oneto, Alessandro 5 Ballico, Edoardo 5 Dipasquale, Michael R. 5 Galetto, Federico 5 Ngô Viêt Trung 5 Roulleau, Xavier 5 Simis, Aron 5 Sticlaru, Gabriel 4 Ciliberto, Ciro 4 De Volder, Cindy 4 Di Rocco, Sandra 4 Dumitrescu, Olivia 4 Fitchett, Stephanie 3 Abe, Takuro 3 Blanc, Jérémy 3 Calussi, Gabriele 3 Chiantini, Luca 3 Cook, David II 3 D’Cruz, Clare 3 Dolgachev, Igor’ Vladimirovich 3 Drabkin, Ben 3 Drabkin, Benjamin 3 Garrousian, Mehdi 3 Grifo, Eloísa 3 Holay, Sandeep H. 3 Huneke, Craig L. 3 Ito, Atsushi M. 3 Jafarloo, Iman Bahmani 3 Janssen, Mike 3 Kabat, Jakub 3 Kim, Youngrock 3 Küronya, Alex 3 Mandal, Mousumi 3 Miranda, Rick 3 Park, Jung Pil 3 Postinghel, Elisa 3 Teitler, Zach 3 Trần Quang Hóa 3 Validashti, Javid 3 Xie, Yu 3 Zaman Fashami, Mohammad 2 Anzis, Benjamin E. 2 Artebani, Michela 2 Bernardi, Alessandra 2 Bisui, Sankhaneel 2 Brambilla, Maria Chiara 2 Cheltsov, Ivan Anatol’evich 2 Cox, David A. 2 Eckl, Thomas 2 Failla, Gioia 2 Fouli, Louiza 2 Francisco, Christopher A. 2 Ilardi, Giovanna 2 Juhnke-Kubitzke, Martina 2 Katz, Daniel 2 Knutsen, Andreas Leopold 2 Kreuzer, Martin 2 Kurano, Kazuhiko 2 Kustin, Andrew R. 2 Laface, Roberto ...and 282 more Authors all top 5 Cited in 94 Serials 67 Journal of Pure and Applied Algebra 56 Journal of Algebra 25 Transactions of the American Mathematical Society 24 Proceedings of the American Mathematical Society 14 Communications in Algebra 13 Advances in Mathematics 10 Geometriae Dedicata 10 Journal of Algebraic Combinatorics 10 Journal of Algebra and its Applications 9 Journal of Commutative Algebra 8 Mathematische Annalen 8 Mathematische Zeitschrift 7 Manuscripta Mathematica 6 Rocky Mountain Journal of Mathematics 6 Annales de l’Institut Fourier 6 Journal of the Korean Mathematical Society 6 Journal of Symbolic Computation 5 Mathematische Nachrichten 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Linear Algebra and its Applications 5 Oberwolfach Reports 4 Collectanea Mathematica 4 Journal für die Reine und Angewandte Mathematik 4 International Journal of Algebra and Computation 4 Journal of Algebraic Geometry 4 European Journal of Mathematics 3 Acta Mathematica Vietnamica 3 Archiv der Mathematik 3 Duke Mathematical Journal 3 Mediterranean Journal of Mathematics 3 Electronic Research Announcements in Mathematical Sciences 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Michigan Mathematical Journal 2 Results in Mathematics 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 Journal of the Ramanujan Mathematical Society 2 International Journal of Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Revista Matemática Complutense 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Afrika Matematika 2 Research in the Mathematical Sciences 1 Studia Mathematica 1 Compositio Mathematica 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Ricerche di Matematica 1 Advances in Applied Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Discrete & Computational Geometry 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Designs, Codes and Cryptography 1 Bulletin of the American Mathematical Society. New Series 1 The Australasian Journal of Combinatorics 1 Experimental Mathematics 1 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Transformation Groups 1 Algebras and Representation Theory 1 LMS Journal of Computation and Mathematics 1 Advances in Geometry 1 Moscow Mathematical Journal 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Mathematics in Computer Science 1 Algebra & Number Theory 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 The Journal of Software for Algebra and Geometry 1 Mathematics 1 Arnold Mathematical Journal 1 SIAM Journal on Applied Algebra and Geometry 1 Annales Henri Lebesgue all top 5 Cited in 28 Fields 362 Algebraic geometry (14-XX) 223 Commutative algebra (13-XX) 32 Combinatorics (05-XX) 28 Convex and discrete geometry (52-XX) 23 Several complex variables and analytic spaces (32-XX) 9 Number theory (11-XX) 7 Information and communication theory, circuits (94-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Approximations and expansions (41-XX) 5 General and overarching topics; collections (00-XX) 5 Group theory and generalizations (20-XX) 5 Geometry (51-XX) 5 Differential geometry (53-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Manifolds and cell complexes (57-XX) 3 Associative rings and algebras (16-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year