Edit Profile (opens in new tab) Horrocks, Geoffrey (b. 1932 d. 2012) Co-Author Distance Author ID: horrocks.geoffrey Published as: Horrocks, G.; Horrocks, Geoffrey External Links: Wikidata Documents Indexed: 17 Publications since 1957 1 Further Contribution Reviewing Activity: 48 Reviews Co-Authors: 2 Co-Authors with 2 Joint Publications 127 Co-Co-Authors all top 5 Co-Authors 15 single-authored 1 Aupetit, Hubert 1 Barth, Wolf Paul 1 Bourguignon, Jean-Pierre 1 Butler, Michael C. R. 1 Douady, Adrien 1 Ferrand, Daniel 1 Gruson, Laurent 1 Mumford, David Bryant 1 Peskine, Christian 1 Stora, Raymond 1 Verdier, Jean-Louis all top 5 Serials 5 Proceedings of the London Mathematical Society. Third Series 3 Topology 1 Bulletin of the London Mathematical Society 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Astérisque all top 5 Fields 9 Algebraic geometry (14-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16 Publications have been cited 367 times in 329 Documents Cited by ▼ Year ▼ Vector bundles on the punctured spectrum of a local ring. Zbl 0126.16801 Horrocks, G. 140 1964 A rank 2 vector bundle on P\(^4\) with 15,000 symmetries. Zbl 0255.14017 Horrocks, G.; Mumford, D. 77 1973 Classes of extensions and resolutions. Zbl 0099.25902 Butler, M. C. R.; Horrocks, G. 50 1961 Projective modules over an extension of a local ring. Zbl 0132.28103 Horrocks, G. 23 1964 Examples of rank three vector bundles on five-dimensional projective space. Zbl 0388.14009 Horrocks, G. 16 1978 Fixed point schemes of additive group actions. Zbl 0159.22401 Horrocks, G. 15 1969 A construction for locally free sheaves. Zbl 0162.27305 Horrocks, G. 12 1968 Construction of bundles on \(\mathbb P^n\). Zbl 1382.14018 Horrocks, Geoffrey 10 1980 Birationally ruled surfaces without embeddings in regular schemes. Zbl 0215.08401 Horrocks, G. 8 1971 On the relation of \(S\)-functions to Schubert varieties. Zbl 0105.14405 Horrocks, G. 4 1957 On extending vector bundles over projective space. Zbl 0166.19602 Horrocks, G. 4 1966 Sheaves on projective space invariant under the unitriangular group. Zbl 0194.51901 Horrocks, G. 4 1970 The Yang-Mills equations. Seminaire E.N.S. 1977-1978. (Les équations de Yang-Mills. Seminaire E.N.S. 1977-1978.) Zbl 0457.14009 3 1980 Properties of schemes inherited from orbits. Zbl 0332.14018 Horrocks, G. 2 1976 Vector bundles on the punctured spectrum of a local ring. II. Zbl 0677.14001 Horrocks, Geoffrey 1 1987 A Hilbert function for stacks on Graßmann varieties. Zbl 0088.13602 Horrocks, G. 1 1959 Vector bundles on the punctured spectrum of a local ring. II. Zbl 0677.14001 Horrocks, Geoffrey 1 1987 Construction of bundles on \(\mathbb P^n\). Zbl 1382.14018 Horrocks, Geoffrey 10 1980 The Yang-Mills equations. Seminaire E.N.S. 1977-1978. (Les équations de Yang-Mills. Seminaire E.N.S. 1977-1978.) Zbl 0457.14009 3 1980 Examples of rank three vector bundles on five-dimensional projective space. Zbl 0388.14009 Horrocks, G. 16 1978 Properties of schemes inherited from orbits. Zbl 0332.14018 Horrocks, G. 2 1976 A rank 2 vector bundle on P\(^4\) with 15,000 symmetries. Zbl 0255.14017 Horrocks, G.; Mumford, D. 77 1973 Birationally ruled surfaces without embeddings in regular schemes. Zbl 0215.08401 Horrocks, G. 8 1971 Sheaves on projective space invariant under the unitriangular group. Zbl 0194.51901 Horrocks, G. 4 1970 Fixed point schemes of additive group actions. Zbl 0159.22401 Horrocks, G. 15 1969 A construction for locally free sheaves. Zbl 0162.27305 Horrocks, G. 12 1968 On extending vector bundles over projective space. Zbl 0166.19602 Horrocks, G. 4 1966 Vector bundles on the punctured spectrum of a local ring. Zbl 0126.16801 Horrocks, G. 140 1964 Projective modules over an extension of a local ring. Zbl 0132.28103 Horrocks, G. 23 1964 Classes of extensions and resolutions. Zbl 0099.25902 Butler, M. C. R.; Horrocks, G. 50 1961 A Hilbert function for stacks on Graßmann varieties. Zbl 0088.13602 Horrocks, G. 1 1959 On the relation of \(S\)-functions to Schubert varieties. Zbl 0105.14405 Horrocks, G. 4 1957 all cited Publications top 5 cited Publications all top 5 Cited by 359 Authors 12 Mirò-Roig, Rosa Maria 10 Malaspina, Francesco 7 Hulek, Klaus 7 Tripathi, Amit 6 Ballico, Edoardo 6 Barth, Wolf Paul 6 Faenzi, Daniele 6 Hartshorne, Robin 6 Ottaviani, Giorgio Maria 6 Rao, A. Prabhakar 6 Ravindra, Girivaru V. 6 Schreyer, Frank-Olaf 5 Coandă, Iustin 5 Costa, Laura 5 Decker, Wolfram 5 Manolache, Nicolae 4 Chiantini, Luca 4 Halic, Mihai 4 Jardim, Marcos 4 Peterson, Chris 4 Pons-Llopis, Joan 4 Tikhomirov, Alexander Sergeevich 3 Anghel, Cristian Viorel 3 Arrondo, Enrique 3 Banica, Constantin 3 Choi, Youngook 3 Eisenbud, David 3 Evans, E. Graham jun. 3 Fang, Xinyi 3 Gotzmann, Gerd 3 Grauert, Hans 3 Griffith, Phillip A. 3 He, Yang-Hui Evariste 3 Maingi, Damian Muindi 3 Martin-Deschamps, Mireille 3 Rao, Ravi A. 3 Salamon, Simon Montague 3 Schröer, Stefan 3 Trautmann, Günther 3 Van de Ven, Antonius 2 Abe, Takuro 2 Alizade, R. G. 2 Anderson, Lara B. 2 Beligiannis, Apostolos 2 Brion, Michel 2 Brüstle, Thomas 2 Bruzzo, Ugo 2 Calvo-Andrade, Omegar 2 Chapman, G. Robert 2 Dao, Hailong 2 Deopurkar, Anand 2 Di, Zhenxing 2 Dibaei, Mohammad T. 2 Dolgachev, Igor’ Vladimirovich 2 Dubouloz, Adrien 2 Gorsky, Mikhail A. 2 Hanna, Charles C. 2 Hassoun, Souheila 2 Hedén, Isac 2 Hu, Jiangsheng 2 Hu, Wenchuan 2 Huh, Sukmoon 2 Kleppe, Jan Oddvar 2 Knutson, Allen 2 Kreuzer, Martin 2 Kwak, Sijong 2 Lindel, Hartmut 2 Lukas, André 2 Marchesi, Simone 2 Markushevich, Dimitri Genrikhovich 2 Mohan Kumar, Neithalath 2 Muñoz, Roberto 2 Naie, Daniel 2 Occhetta, Gianluca 2 Peskine, Christian 2 Polyakov, Vladimir Mikhaĭlovich 2 Putinar, Mihai 2 Raynaud, Michèle 2 Ren, Peng 2 Rubei, Elena 2 Sadeghi, Arash 2 Sankaran, Gregory Kumar 2 Sasakura, Nobuo 2 Sather-Wagstaff, Keri 2 Schneider, Michael 2 Soares, Helena 2 Solá-Conde, Luis-Eduardo 2 Solberg, Øyvind 2 Szpiro, Lucien 2 Tocino, Alicia 2 Toksoy, Sultan Eylem 2 Zhang, Mengyuan 1 Abo, Hirotachi 1 Ahn, Jeaman 1 Akbulut, Selman 1 Alexeev, Valery A. 1 Almeida, Charles 1 Altman, Allen B. 1 Anand, Christopher Kumar 1 Ancona, Vincenzo ...and 259 more Authors all top 5 Cited in 100 Serials 29 Journal of Algebra 19 Communications in Algebra 17 Mathematische Annalen 16 Journal of Pure and Applied Algebra 13 Mathematische Zeitschrift 12 Transactions of the American Mathematical Society 11 Advances in Mathematics 10 Inventiones Mathematicae 10 Manuscripta Mathematica 9 Proceedings of the American Mathematical Society 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Mathematische Nachrichten 6 Annales de l’Institut Fourier 6 Journal of Algebra and its Applications 5 Duke Mathematical Journal 5 Journal of Algebraic Geometry 4 Mathematical Notes 4 Journal of Geometry and Physics 4 Archiv der Mathematik 4 Compositio Mathematica 4 Geometriae Dedicata 4 Journal of Soviet Mathematics 4 Proceedings of the Japan Academy. Series A 4 International Journal of Mathematics 4 Journal of High Energy Physics 4 Bulletin of the American Mathematical Society 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Journal of Symbolic Computation 3 Forum Mathematicum 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Algebras and Representation Theory 2 Communications in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica Vietnamica 2 Glasgow Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Pacific Journal of Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Sbornik: Mathematics 2 Transformation Groups 2 Communications in Contemporary Mathematics 2 Advances in Geometry 2 Central European Journal of Mathematics 2 Bulletin de la Société Mathématique de France. Supplément. Mémoires 2 Algebra & Number Theory 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 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 Topology and its Applications 1 Bulletin of the Iranian Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Expositiones Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Electronic Research Announcements of the American Mathematical Society 1 Documenta Mathematica 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Geometry & Topology 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Gökova Geometry Topology GGT 1 Journal of \(K\)-Theory 1 Kyoto Journal of Mathematics 1 ISRN Algebra 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 26 Fields 248 Algebraic geometry (14-XX) 66 Commutative algebra (13-XX) 42 Category theory; homological algebra (18-XX) 37 Associative rings and algebras (16-XX) 27 Several complex variables and analytic spaces (32-XX) 19 Group theory and generalizations (20-XX) 13 Differential geometry (53-XX) 13 Manifolds and cell complexes (57-XX) 10 Number theory (11-XX) 10 Algebraic topology (55-XX) 10 Quantum theory (81-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 \(K\)-theory (19-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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