Edit Profile Harbourne, Brian Compute Distance To: Compute Author ID: harbourne.brian Published as: Harbourne, B.; Harbourne, Brian External Links: MGP Documents Indexed: 80 Publications since 1985, including 3 Books all top 5 Co-Authors 22 single-authored 11 Szemberg, Tomasz 8 Bauer, Thomas 8 Geramita, Anthony Vito 8 Migliore, Juan Carlos 8 Roé, Joaquim 7 Guardo, Elena 6 Bocci, Cristiano 6 Cooper, Susan Marie 6 Dumnicki, Marcin 6 Gimigliano, Alessandro 6 Tutaj-Gasińska, Halszka 5 Di Rocco, Sandra 5 Nagel, Uwe 5 Van Tuyl, Adam 4 Idà, Monica 4 Seceleanu, Alexandra 3 Knutsen, Andreas Leopold 3 Küronya, Alex 3 Miranda, Rick 2 Carlini, Enrico 2 Ciliberto, Ciro 2 Farnik, Łucja 2 Fatabbi, Giuliana 2 Fitchett, Stephanie 2 Holay, Sandeep H. 2 Lorenzini, Anna 2 Pokora, Piotr 2 Schenck, Hal 2 Szpond, Justyna 2 Teitler, Zach 1 Catalisano, Maria Virginia 1 Cook, David II 1 Hà, Huy Tài 1 Hanumanthu, Krishna 1 Huizenga, Jack 1 Huneke, Craig L. 1 Jabbusch, Kelly 1 Janssen, Mike 1 Kapustka, Michał 1 Lahyane, Mustapha 1 Lang, William E. 1 Lundman, Anders 1 Malara, Grzegorz 1 Mirò-Roig, Rosa Maria 1 Müller-Stach, Stefan J. 1 Ranestad, Kristian 1 Roulleau, Xavier 1 Shin, Yong Su 1 Speiser, Robert 1 Syzdek, Wioletta Danuta 1 Vu, Thanh all top 5 Serials 12 Journal of Algebra 8 Journal of Pure and Applied Algebra 6 Transactions of the American Mathematical Society 4 Proceedings of the American Mathematical Society 4 Oberwolfach Reports 3 Collectanea Mathematica 2 Advances in Mathematics 2 Canadian Journal of Mathematics 2 Duke Mathematical Journal 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 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico 1 Journal of the Ramanujan Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Linear Algebra and its Applications 1 Journal of Algebraic Combinatorics 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 all top 5 Fields 79 Algebraic geometry (14-XX) 45 Commutative algebra (13-XX) 6 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 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 68 Publications have been cited 1,022 times in 362 Documents Cited by ▼ Year ▼ Comparing powers and symbolic powers of ideals. Zbl 1198.14001Bocci, Cristiano; Harbourne, Brian 78 2010 A primer on Seshadri constants. Zbl 1184.14008Bauer, Thomas; Di Rocco, Sandra; Harbourne, Brian; Kapustka, Michał; Knutsen, Andreas; Syzdek, Wioletta; Szemberg, Tomasz 54 2009 Star configurations in \(\mathbb{P}^n\). Zbl 1284.14073Geramita, A. V.; Harbourne, B.; Migliore, J. 50 2013 The geometry of rational surfaces and Hilbert functions of points in the plane. Zbl 0611.14002Harbourne, Brian 48 1986 Complete linear systems on rational surfaces. Zbl 0609.14004Harbourne, Brian 41 1985 Are symbolic powers highly evolved? Zbl 1296.13018Harbourne, Brian; Huneke, Craig 40 2013 Anticanonical rational surfaces. Zbl 0860.14006Harbourne, Brian 39 1997 The resurgence of ideals of points and the containment problem. Zbl 1200.14018Bocci, Cristiano; Harbourne, Brian 32 2010 Containment results for ideals of various configurations of points in \(\mathbb P^N\). Zbl 1285.13029Bocci, Cristiano; Cooper, Susan M.; Harbourne, Brian 24 2014 Asymptotic resurgences for ideals of positive dimensional subschemes of projective space. Zbl 1296.13017Guardo, Elena; Harbourne, Brian; Van Tuyl, Adam 24 2013 Free resolutions of fat point ideals on \(\mathbb{P}^2\). Zbl 0901.14030Harbourne, Brian 24 1998 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. 23 2015 Linear subspaces, symbolic powers and Nagata type conjectures. Zbl 1286.13002Dumnicki, Marcin; Harbourne, Brian; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 23 2014 Rational surfaces with \(K^ 2>0\). Zbl 0874.14025Harbourne, Brian 23 1996 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 20 2016 Bounded negativity and arrangements of lines. Zbl 1330.14007Bauer, Thomas; Di Rocco, Sandra; Harbourne, Brian; Huizenga, Jack; Lundman, Anders; Pokora, Piotr; Szemberg, Tomasz 20 2015 Containment counterexamples for ideals of various configurations of points in \(\mathbb{P}^N\). Zbl 1318.13031Harbourne, Brian; Seceleanu, Alexandra 19 2015 Negative curves on algebraic surfaces. Zbl 1272.14009Bauer, Thomas; Harbourne, Brian; Knutsen, Andreas Leopold; Küronya, Alex; Müller-Stach, Stefan; Roulleau, Xavier; Szemberg, Tomasz 19 2013 Combinatorial bounds on Hilbert functions of fat points in projective space. Zbl 1221.14063Cooper, Susan; Harbourne, Brian; Teitler, Zach 19 2011 Global aspects of the geometry of surfaces. Zbl 1247.14006Harbourne, Brian 18 2010 Blowings-up of \({\mathbb{P}}^ 2\) and their blowings-down. Zbl 0577.14025Harbourne, Brian 18 1985 Line arrangements and configurations of points with an unexpected geometric property. Zbl 1408.14174Cook, D. II; Harbourne, B.; Migliore, J.; Nagel, U. 17 2018 Linear systems with multiple base points in \(\mathbb P^2\). Zbl 1080.14505Harbourne, Brian; Roé, Joaquim 16 2004 Resolutions of fat points ideals involving eight general point of \(\mathbb{P}^2\). Zbl 1033.14031Fitchett, Stephanie; Harbourne, Brian; Holay, Sandeep 16 2001 Matroid configurations and symbolic powers of their ideals. Zbl 1391.14109Geramita, A. V.; Harbourne, B.; Migliore, J.; Nagel, U. 15 2017 Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property. Zbl 1242.13016Harbourne, Brian; Schenck, Hal; Seceleanu, Alexandra 15 2011 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 The ideal generation problem for fat points. Zbl 0942.14024Harbourne, Brian 15 2000 Classifying Hilbert functions of fat point subschemes in \(\mathbb{P}^2\). Zbl 1186.14008Geramita, A. V.; Harbourne, Brian; Migliore, Juan 14 2009 Variations of Nagata’s conjecture. Zbl 1317.14017Ciliberto, Ciro; Harbourne, Brian; Miranda, Rick; Roé, Joaquim 13 2013 An algorithm for fat points on \(\mathbb{P}^2\). Zbl 0963.14021Harbourne, Brian 13 2000 Problems and progress: A survey on fat points in \(\mathbb{P}^2\). Zbl 1052.14052Harbourne, Brian 12 2002 Rational surfaces with infinite automorphism group and no antipluricanonical curve. Zbl 0643.14019Harbourne, Brian 12 1987 Projectively normal but superabundant embeddings of rational surfaces in projective space. Zbl 0862.14025Geramita, Anthony V.; Gimigliano, Alessandro; Harbourne, Brian 11 1994 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 9 2013 Irreducibility of \(-1\)-classes on anticanonical rational surfaces and finite generation of the effective monoid. Zbl 1109.14030Lahyane, Mustapha; Harbourne, Brian 9 2005 On Nagata’s conjecture. Zbl 1014.14007Harbourne, Brian 9 2001 Very ample divisors on rational surfaces. Zbl 0545.14003Harbourne, Brian 9 1985 Computing multi-point seshadri constants on \(\mathbb{P}^2\). Zbl 1185.14005Harbourne, Brian; Roé, Joaquim 8 2009 Discrete behavior of Seshadri constants on surfaces. Zbl 1132.14004Harbourne, Brian; Roé, Joaquim 8 2008 Points in good position in \(\mathbb{P}^ 2\). Zbl 0820.14034Harbourne, Brian 8 1994 Multiple fibers on rational elliptic surfaces. Zbl 0674.14027Harbourne, Brian; Lang, William E. 8 1988 Asymptotics of linear systems, with connections to line arrangements. Zbl 1400.14028Harbourne, Brian 7 2018 Inductively computable unions of fat linear subspaces. Zbl 1348.13029Fatabbi, Giuliana; Harbourne, Brian; Lorenzini, Anna 7 2015 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 7 2012 Birational morphisms of rational surfaces. Zbl 0883.14017Harbourne, Brian 7 1997 Resolutions of ideals of fat points with support in a hyperplane. Zbl 1160.13006Fatabbi, Giuliana; Harbourne, Brian; Lorenzini, Anna 6 2006 Betti numbers for fat point ideals in the plane: A geometric approach. Zbl 1170.14006Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica 5 2009 Regina lectures on fat points. Zbl 1315.14012Cooper, Susan M.; Harbourne, Brian 4 2014 Fat lines in \(\mathbb P^3\): powers versus symbolic powers. Zbl 1291.13033Guardo, Elena; Harbourne, Brian; Van Tuyl, Adam 4 2013 On plane rational curves and the splitting of the tangent bundle. Zbl 1434.14004Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica 4 2013 Multipoint Seshadri constants on \(\mathbb P^2\). Zbl 1177.14065Harbourne, B.; Roé, J. 4 2005 Exceptional curves on rational numerically elliptic surfaces. Zbl 0711.14020Harbourne, Brian; Miranda, Rick 4 1990 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. 3 2019 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 Ideals of powers and powers of ideals. Intersecting algebra, geometry, and combinatorics. Zbl 1445.13001Carlini, Enrico; Hà, Huy Tài; Harbourne, Brian; Van Tuyl, Adam 2 2020 A matrixwise approach to unexpected hypersurfaces. Zbl 07188930Dumnicki, Marcin; Farnik, Łucja; Harbourne, Brian; Malara, Grzegorz; Szpond, Justyna; Tutaj-Gasińska, Halszka 2 2020 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 2 2017 Stable postulation and stable ideal generation: conjectures for fat points in the plane. Zbl 1187.14010Gimigliano, Alessandro; Harbourne, Brian; Idà, Monica 2 2009 Configuration types and cubic surfaces. Zbl 1154.14027Guardo, Elena; Harbourne, Brian 2 2008 The (unexpected) importance of knowing \(\alpha\). Zbl 1101.14010Harbourne, Brian 2 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 1089.14001Ciliberto, C. (ed.); Geramita, A. V. (ed.); Harbourne, B. (ed.); Miró-Roig, R. M. (ed.); Ranestad, K. (ed.) 2 2005 Automorphisms of K3-like rational surfaces. Zbl 0651.14023Harbourne, Brian 2 1987 Mini-workshop: Ideals of linear subspaces, their symbolic powers and Waring problems. Abstracts from the mini-workshop held February 15–21, 2015. Zbl 1349.00072Bocci, Cristiano (ed.); Carlini, Enrico (ed.); Guardo, Elena (ed.); Harbourne, Brian (ed.) 1 2015 Automorphisms of cuspidal K3-like surfaces. Zbl 0751.14004Harbourne, Brian 1 1991 Iterated blow-ups and moduli for rational surfaces. Zbl 0661.14030Harbourne, Brian 1 1988 Ideals of powers and powers of ideals. Intersecting algebra, geometry, and combinatorics. Zbl 1445.13001Carlini, Enrico; Hà, Huy Tài; Harbourne, Brian; Van Tuyl, Adam 2 2020 A matrixwise approach to unexpected hypersurfaces. Zbl 07188930Dumnicki, Marcin; Farnik, Łucja; Harbourne, Brian; Malara, Grzegorz; Szpond, Justyna; Tutaj-Gasińska, Halszka 2 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. 3 2019 Line arrangements and configurations of points with an unexpected geometric property. Zbl 1408.14174Cook, D. II; Harbourne, B.; Migliore, J.; Nagel, U. 17 2018 Asymptotics of linear systems, with connections to line arrangements. Zbl 1400.14028Harbourne, Brian 7 2018 Matroid configurations and symbolic powers of their ideals. Zbl 1391.14109Geramita, A. V.; Harbourne, B.; Migliore, J.; Nagel, U. 15 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 2 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 20 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. 23 2015 Bounded negativity and arrangements of lines. Zbl 1330.14007Bauer, Thomas; Di Rocco, Sandra; Harbourne, Brian; Huizenga, Jack; Lundman, Anders; Pokora, Piotr; Szemberg, Tomasz 20 2015 Containment counterexamples for ideals of various configurations of points in \(\mathbb{P}^N\). Zbl 1318.13031Harbourne, Brian; Seceleanu, Alexandra 19 2015 Inductively computable unions of fat linear subspaces. Zbl 1348.13029Fatabbi, Giuliana; Harbourne, Brian; Lorenzini, Anna 7 2015 Mini-workshop: Ideals of linear subspaces, their symbolic powers and Waring problems. Abstracts from the mini-workshop held February 15–21, 2015. Zbl 1349.00072Bocci, Cristiano (ed.); Carlini, Enrico (ed.); Guardo, Elena (ed.); Harbourne, Brian (ed.) 1 2015 Containment results for ideals of various configurations of points in \(\mathbb P^N\). Zbl 1285.13029Bocci, Cristiano; Cooper, Susan M.; Harbourne, Brian 24 2014 Linear subspaces, symbolic powers and Nagata type conjectures. Zbl 1286.13002Dumnicki, Marcin; Harbourne, Brian; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 23 2014 Regina lectures on fat points. Zbl 1315.14012Cooper, Susan M.; Harbourne, Brian 4 2014 Star configurations in \(\mathbb{P}^n\). Zbl 1284.14073Geramita, A. V.; Harbourne, B.; Migliore, J. 50 2013 Are symbolic powers highly evolved? Zbl 1296.13018Harbourne, Brian; Huneke, Craig 40 2013 Asymptotic resurgences for ideals of positive dimensional subschemes of projective space. Zbl 1296.13017Guardo, Elena; Harbourne, Brian; Van Tuyl, Adam 24 2013 Negative curves on algebraic surfaces. Zbl 1272.14009Bauer, Thomas; Harbourne, Brian; Knutsen, Andreas Leopold; Küronya, Alex; Müller-Stach, Stefan; Roulleau, Xavier; Szemberg, Tomasz 19 2013 Variations of Nagata’s conjecture. Zbl 1317.14017Ciliberto, Ciro; Harbourne, Brian; Miranda, Rick; Roé, Joaquim 13 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 9 2013 Fat lines in \(\mathbb P^3\): powers versus symbolic powers. Zbl 1291.13033Guardo, Elena; Harbourne, Brian; Van Tuyl, Adam 4 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 7 2012 Combinatorial bounds on Hilbert functions of fat points in projective space. Zbl 1221.14063Cooper, Susan; Harbourne, Brian; Teitler, Zach 19 2011 Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property. Zbl 1242.13016Harbourne, Brian; Schenck, Hal; Seceleanu, Alexandra 15 2011 Comparing powers and symbolic powers of ideals. Zbl 1198.14001Bocci, Cristiano; Harbourne, Brian 78 2010 The resurgence of ideals of points and the containment problem. Zbl 1200.14018Bocci, Cristiano; Harbourne, Brian 32 2010 Global aspects of the geometry of surfaces. Zbl 1247.14006Harbourne, Brian 18 2010 A primer on Seshadri constants. Zbl 1184.14008Bauer, Thomas; Di Rocco, Sandra; Harbourne, Brian; Kapustka, Michał; Knutsen, Andreas; Syzdek, Wioletta; Szemberg, Tomasz 54 2009 Classifying Hilbert functions of fat point subschemes in \(\mathbb{P}^2\). Zbl 1186.14008Geramita, A. V.; Harbourne, Brian; Migliore, Juan 14 2009 Computing multi-point seshadri constants on \(\mathbb{P}^2\). Zbl 1185.14005Harbourne, Brian; Roé, Joaquim 8 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 8 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 9 2005 Multipoint Seshadri constants on \(\mathbb P^2\). Zbl 1177.14065Harbourne, B.; Roé, J. 4 2005 The (unexpected) importance of knowing \(\alpha\). Zbl 1101.14010Harbourne, Brian 2 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 1089.14001Ciliberto, C. (ed.); Geramita, A. V. (ed.); Harbourne, B. (ed.); Miró-Roig, R. M. (ed.); Ranestad, K. (ed.) 2 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 12 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 9 2001 The ideal generation problem for fat points. Zbl 0942.14024Harbourne, Brian 15 2000 An algorithm for fat points on \(\mathbb{P}^2\). Zbl 0963.14021Harbourne, Brian 13 2000 Free resolutions of fat point ideals on \(\mathbb{P}^2\). Zbl 0901.14030Harbourne, Brian 24 1998 Anticanonical rational surfaces. Zbl 0860.14006Harbourne, Brian 39 1997 Birational morphisms of rational surfaces. Zbl 0883.14017Harbourne, Brian 7 1997 Rational surfaces with \(K^ 2>0\). Zbl 0874.14025Harbourne, Brian 23 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 8 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. 8 1988 Iterated blow-ups and moduli for rational surfaces. Zbl 0661.14030Harbourne, Brian 1 1988 Rational surfaces with infinite automorphism group and no antipluricanonical curve. Zbl 0643.14019Harbourne, Brian 12 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 48 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 318 Authors 40 Harbourne, Brian 21 Szemberg, Tomasz 19 Tutaj-Gasińska, Halszka 18 Dumnicki, Marcin 18 Guardo, Elena 16 Szpond, Justyna 12 Nagel, Uwe 12 Shin, Yong Su 12 Van Tuyl, Adam 11 Lahyane, Mustapha 11 Migliore, Juan Carlos 11 Pokora, Piotr 10 Bocci, Cristiano 10 Carlini, Enrico 10 Catalisano, Maria Virginia 10 Geramita, Anthony Vito 10 Gimigliano, Alessandro 10 Malara, Grzegorz 10 Mirò-Roig, Rosa Maria 10 Roé, Joaquim 9 Hanumanthu, Krishna 9 Laface, Antonio 8 Seceleanu, Alexandra 7 Cooper, Susan Marie 7 Farnik, Łucja 7 Lorenzini, Anna 7 Tohǎneanu, Ştefan O. 6 Bauer, Thomas 6 de la Rosa Navarro, Brenda Leticia 6 Dimca, Alexandru 6 Fatabbi, Giuliana 6 Hà, Huy Tài 6 Haghighi, Hassan 6 Idà, Monica 6 Lampa-Baczyńska, Magdalena 6 Medina, Juan Bosco Frias 6 Monserrat, Francisco 6 Oneto, Alessandro 5 Ballico, Edoardo 5 Galindo Pastor, Carlos 5 Mosakhani, Mohammad 5 Ngô Viêt Trung 5 Simis, Aron 4 Ciliberto, Ciro 4 De Volder, Cindy 4 Di Rocco, Sandra 4 Dumitrescu, Olivia 4 Favacchio, Giuseppe 4 Fitchett, Stephanie 4 Galetto, Federico 4 Miranda, Rick 4 Roulleau, Xavier 4 Sticlaru, Gabriel 3 Blanc, Jérémy 3 Calussi, Gabriele 3 Chiantini, Luca 3 Dipasquale, Michael R. 3 Eckl, Thomas 3 Garrousian, Mehdi 3 Holay, Sandeep H. 3 Huneke, Craig L. 3 Ito, Atsushi M. 3 Janssen, Mike 3 Kabat, Jakub 3 Kim, Youngrock 3 Küronya, Alex 3 Postinghel, Elisa 3 Tran, Quang Hoa 3 Validashti, Javid 3 Zaman Fashami, Mohammad 2 Anzis, Benjamin E. 2 Artebani, Michela 2 Bernardi, Alessandra 2 Brambilla, Maria Chiara 2 Cook, David II 2 Cox, David A. 2 D’Cruz, Clare 2 Dolgachev, Igor’ Vladimirovich 2 Failla, Gioia 2 Fouli, Louiza 2 Francisco, Christopher A. 2 Grifo, Eloísa 2 Ilardi, Giovanna 2 Jafarloo, Iman Bahmani 2 Katz, Daniel 2 Knutsen, Andreas Leopold 2 Kurano, Kazuhiko 2 Kustin, Andrew R. 2 Laface, Roberto 2 Lee, Kyungyong 2 Lundman, Anders 2 Mandal, Mousumi 2 Mantero, Paolo 2 Mayes, Sarah 2 Mermin, Jeffrey 2 Mignon, Thierry 2 Moraga Saez, Joaquín Leonardo 2 Moreno Mejía, Israel 2 Müller-Stach, Stefan J. 2 Murai, Satoshi ...and 218 more Authors all top 5 Cited in 87 Serials 61 Journal of Pure and Applied Algebra 52 Journal of Algebra 24 Transactions of the American Mathematical Society 23 Proceedings of the American Mathematical Society 13 Communications in Algebra 11 Advances in Mathematics 8 Geometriae Dedicata 8 Mathematische Annalen 8 Journal of Algebra and its Applications 6 Manuscripta Mathematica 6 Mathematische Zeitschrift 5 Rocky Mountain Journal of Mathematics 5 Journal of the Korean Mathematical Society 5 Mathematische Nachrichten 5 Journal of Symbolic Computation 5 Journal of Algebraic Combinatorics 4 Annales de l’Institut Fourier 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Linear Algebra and its Applications 4 Journal of Algebraic Geometry 4 Journal of Commutative Algebra 3 Archiv der Mathematik 3 Collectanea Mathematica 3 Duke Mathematical Journal 3 Journal für die Reine und Angewandte Mathematik 3 International Journal of Algebra and Computation 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 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 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mediterranean Journal of Mathematics 2 Oberwolfach Reports 2 Afrika Matematika 1 Studia Mathematica 1 Acta Mathematica Vietnamica 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 Michigan Mathematical Journal 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 Results in Mathematics 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 Experimental Mathematics 1 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 Izvestiya: Mathematics 1 Transformation Groups 1 Algebras and Representation Theory 1 LMS Journal of Computation and Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 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 Annales Henri Lebesgue all top 5 Cited in 25 Fields 311 Algebraic geometry (14-XX) 186 Commutative algebra (13-XX) 21 Combinatorics (05-XX) 19 Convex and discrete geometry (52-XX) 18 Several complex variables and analytic spaces (32-XX) 8 Number theory (11-XX) 7 Information and communication theory, circuits (94-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 5 Differential geometry (53-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Geometry (51-XX) 3 Associative rings and algebras (16-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year