Edit Profile Illusie, Luc Compute Distance To: Compute Author ID: illusie.luc Published as: Illusie, L.; Illusie, Luc External Links: MGP · Wikidata · GND Documents Indexed: 86 Publications since 1965, including 18 Books all top 5 Co-Authors 52 single-authored 8 Katz, Nicholas Michael 7 Cartier, Pierre 6 Berthelot, Pierre 6 Laumon, Gérard 6 Manin, Yuri Ivanovich 6 Ribet, Kenneth Alan 5 Kato, Kazuya 4 Fontaine, Jean-Marc 3 Laszlo, Yves 3 Rapoport, Michael 3 Raynaud, Michel 3 Zheng, Weizhe 2 Bertin, José 2 Deligne, Pierre René 2 Demailly, Jean-Pierre 2 Kleiman, Steven Lawrence 2 Nakayama, Chikara 2 Orgogozo, Fabrice 2 Peters, Christiaan Anthonius Maria 2 Temkin, Michael 1 Artin, Michael 1 Atiyah, Michael Francis 1 Bass, Hyman 1 Beilinson, Alexander A. 1 Bloch, Spencer J. 1 Clozel, Laurent 1 Demazure, Michel 1 Drinfeld, Vladimir Gershonovich 1 Fantechi, Barbara 1 Giraud, Jean 1 Göttsche, Lothar 1 Green, Mark Lee 1 Greenberg, Marvin Jay 1 Grothendieck, Alexander 1 Hartshorne, Robin 1 Jackson, Allyn 1 Looijenga, Eduard J. N. 1 Messing, William 1 Mukai, Shigeru 1 Mumford, David Bryant 1 Nitsure, Nitin 1 Saito, Shuji 1 Scholze, Peter 1 Tate, John Torrence jun. 1 Tsuji, Takeshi 1 Usui, Sampei 1 Vistoli, Angelo all top 5 Serials 5 Notices of the American Mathematical Society 4 Gazette des Mathématiciens 4 Astérisque 4 Lecture Notes in Mathematics 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Progress in Mathematics 3 Japanese Journal of Mathematics. 3rd Series 3 Modern Birkhäuser Classics 2 Manuscripta Mathematica 2 IMRN. International Mathematics Research Notices 2 European Mathematical Society Newsletter 1 Acta Mathematica Vietnamica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Proceedings of the Japan Academy. Series A 1 Topology 1 L’Enseignement Mathématique. 2e Série 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences. University of Tokyo 1 Moscow Mathematical Journal 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Advanced Studies in Pure Mathematics 1 Mathematical Surveys and Monographs 1 Panoramas et Synthèses 1 SMF/AMS Texts and Monographs all top 5 Fields 71 Algebraic geometry (14-XX) 14 History and biography (01-XX) 13 Category theory; homological algebra (18-XX) 12 General and overarching topics; collections (00-XX) 12 Commutative algebra (13-XX) 9 Number theory (11-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Group theory and generalizations (20-XX) 5 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 1 Topological groups, Lie groups (22-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 58 Publications have been cited 1,263 times in 987 Documents Cited by ▼ Year ▼ Complexe de De Rham-Witt et cohomologie cristalline. Zbl 0436.14007Illusie, Luc 204 1979 Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.). Zbl 0224.13014Illusie, Luc 183 1971 Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex). Zbl 0632.14017Deligne, Pierre; Illusie, Luc 117 1987 Séminaire de géométrie algébrique du Bois Marie 1966/67, SGA 6.Dirigé par P. Berthelot, A. Grothendieck et L. Illusie, Avec la collaboration de D. Ferrand, J. P. Jouanolou, O. Jussilia, S. Kleiman, M. Raynaud et J. P. Serre. Théorie des intersections et théorème de Riemann-Roch. Zbl 0218.14001Berthelot, P. (ed.); Grothendieck, A. (ed.); Illusie, L. (ed.) 113 1971 Complexe cotangent et déformations. II. Zbl 0238.13017Illusie, Luc 104 1972 Fundamental algebraic geometry: Grothendieck’s FGA explained. Zbl 1085.14001Fantechi, Barbara; Göttsche, Lothar; Illusie, Luc; Kleiman, Steven L.; Nitsure, Nitin; Vistoli, Angelo 88 2005 Les suites spectrales associées au complexe de De Rham-Witt. Zbl 0538.14012Illusie, Luc; Raynaud, Michel 57 1983 Deformations of Barsotti-Tate groups (after A. Grothendieck). Zbl 1182.14050Illusie, Luc 34 1985 On the local monodromy theorem. Zbl 0837.14013Illusie, Luc 33 1994 An overview of the work of K. Fujiwara, K. Kato, and C. Nakayama on logarithmic étale cohomology. Zbl 1052.14005Illusie, Luc 24 2002 Gabber’s work on local uniformization and étale cohomology of quasi-excellent schemes. Seminar at École Polytechnique 2006–2008. Zbl 1297.14003Illusie, Luc (ed.); Laszlo, Yves (ed.); Orgogozo, Fabrice (ed.) 21 2014 Existence de résolutions globales. Zbl 0241.14002Illusie, L. 20 1971 Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024Illusie, Luc; Kato, Kazuya; Nakayama, Chikara 17 2005 Théorie de Brauer et caractéristique d’Euler-Poincaré. (D’apres P. Deligne). Zbl 0496.14013Illusie, Luc 16 1981 Ordinarité des intersections complètes générales. (Ordinarity of general complete intersections). Zbl 0728.14021Illusie, Luc 14 1990 De Rham and \(p\)-adic etale cohomology [after G. Faltings, J.-M. Fontaine and others ]. Zbl 0736.14005Illusie, Luc 14 1990 Réduction semi-stable et décomposition de complexes de de Rham à coefficients. (Semi-stable reduction and decomposition of de Rham complexes with coefficients). Zbl 0708.14014Illusie, Luc 13 1990 Classes de Chern en cohomologie cristalline. Zbl 0198.26201Berthelot, P.; Illusie, L. 13 1970 Miscellany on traces in \(\ell\)-adic cohomology: a survey. Zbl 1156.14309Illusie, Luc 12 2006 Généralités sur les conditions de finitude dans les catégories dérivées. (Generalities on finiteness conditions in derived categories). Zbl 0229.14009Illusie, L. 11 1971 Introduction to Hodge theory. Transl. from the French by James Lewis and Chris Peters. Zbl 0996.14003Bertin, José; Demailly, Jean-Pierre; Illusie, Luc; Peters, Chris 10 2002 Logarithmic spaces (according to K. Kato). Zbl 0832.14015Illusie, Luc 10 1994 Finiteness, duality, and Künneth theorems in the cohomology of the De Rham Witt complex. Zbl 0538.14013Illusie, L. 10 1983 Cotangent complex and deformations of torsors and group schemes. Zbl 0238.14016Illusie, Luc 10 1972 Crystalline cohomology. Zbl 0811.14015Illusie, Luc 8 1994 de Rham-Witt complex. Zbl 0446.14008Illusie, Luc 8 1979 Report on crystalline cohomology. Zbl 0326.14005Illusie, Luc 8 1975 Conditions of relative finiteness. Zbl 0229.14010Illusie, L. 8 1971 Odds and ends on finite group actions and traces. Zbl 1360.14120Illusie, Luc; Zheng, Weizhe 7 2013 Complexe cotangent rélatif d’un faisceau d’algèbres. Zbl 0169.36201Illusie, L. 7 1969 On semistable reduction and the calculation of nearby cycles. Zbl 1081.14026Illusie, Luc 6 2004 Exposé X. Gabber’s modification theorem (log smooth case). Zbl 1327.14072Illusie, Luc; Temkin, Michael 5 2014 Exposé VIII. Gabber’s modification theorem (absolute case). Zbl 1327.14071Illusie, Luc; Temkin, Michael 5 2014 Perversity and variation. Zbl 1036.14008Illusie, Luc 5 2003 \(p\)-adic periods: A survey. Zbl 0836.14010Fontaine, J.-M.; Illusie, L. 5 1993 Quotient stacks and equivariant étale cohomology algebras: Quillen’s theory revisited. Zbl 1358.14009Illusie, Luc; Zheng, Weizhe 4 2016 \(l\)-adic realization of monodromy pairing after A. Grothendieck. Zbl 0781.14011Illusie, Luc 4 1991 Around the Thom-Sebastiani theorem, with an appendix by Weizhe Zheng. Zbl 1395.14010Illusie, Luc 3 2017 On log flat descent. Zbl 1275.14005Illusie, Luc; Nakayama, Chikara; Tsuji, Takeshi 3 2013 Introduction to Hodge theory. Zbl 0849.14002Bertin, José; Demailly, Jean-Pierre; Illusie, Luc; Peters, Chris 3 1996 Nombtes de Chern et groupes finis. Zbl 0201.56401Illusie, L. 3 1968 Exposé XI. Oriented products. Zbl 1320.18003Illusie, Luc 2 2014 \(p\)-adic cohomology and arithmetic applications (II). Zbl 0990.00020Berthelot, Pierre (ed.); Fontaine, Jean-Marc (ed.); Illusie, Luc (ed.); Kato, Kazuya (ed.); Rapoport, Michael (ed.) 2 2002 The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume I. Zbl 0717.00008Cartier, P. (ed.); Illusie, L. (ed.); Katz, N. M. (ed.); Laumon, G. (ed.); Manin, Y. (ed.); Ribet, K. A. (ed.) 2 1990 Calculs de termes locaux. Zbl 0354.14006Illusie, Luc 2 1977 Travaux de Quillen sur la cohomologie des groupes. Zbl 0255.57021Illusie, Luc 2 1973 Complexes quasi-acycliques directs de fibres banachiques. Zbl 0161.43001Illusie, L. 2 1965 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L. 1 2016 Elementary abelian \(\ell\)-groups and mod \(\ell\) equivariant étale cohomology algebras. Zbl 1327.14094Illusie, Luc 1 2015 Grothendieck and algebraic geometry. Zbl 1322.01047Illusie, Luc; Raynaud, Michel 1 2015 Exposé XVIII\(_A\). Cohomological dimension: first results. Zbl 1320.14026Illusie, Luc 1 2014 Introduction. Zbl 1320.14002Illusie, Luc; Laszlo, Yves; Orgogozo, Fabrice 1 2014 Reminiscences of Grothendieck and his school. Zbl 1209.14002Illusie, Luc; Beilinson, Alexander; Bloch, Spencer; Drinfeld, Vladimir 1 2010 Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031Usui, Sampei (ed.); Green, Mark (ed.); Illusie, Luc (ed.); Kato, Kazuya (ed.); Looijenga, Eduard (ed.); Mukai, Shigeru (ed.); Saito, Shuji (ed.) 1 2002 The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume II. Zbl 0717.00009Cartier, P. (ed.); Illusie, L. (ed.); Katz, N. M. (ed.); Laumon, G. (ed.); Manin, Y. (ed.); Ribet, K. A. (ed.) 1 1990 Surfaces algébriques. Seminaire de Géométrie Algebrique d’Orsay 1976-78. Zbl 0452.00012Giraud, J. (ed.); Illusie, L. (ed.); Raynaud, M. (ed.) 1 1981 Cohomologie cristalline (d’apres P. Berthelot). Zbl 0345.14005Illusie, Luc 1 1976 Algèbre homotopique rélative. I, II. Zbl 0169.32802Illusie, L. 1 1969 Around the Thom-Sebastiani theorem, with an appendix by Weizhe Zheng. Zbl 1395.14010Illusie, Luc 3 2017 Quotient stacks and equivariant étale cohomology algebras: Quillen’s theory revisited. Zbl 1358.14009Illusie, Luc; Zheng, Weizhe 4 2016 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L. 1 2016 Elementary abelian \(\ell\)-groups and mod \(\ell\) equivariant étale cohomology algebras. Zbl 1327.14094Illusie, Luc 1 2015 Grothendieck and algebraic geometry. Zbl 1322.01047Illusie, Luc; Raynaud, Michel 1 2015 Gabber’s work on local uniformization and étale cohomology of quasi-excellent schemes. Seminar at École Polytechnique 2006–2008. Zbl 1297.14003Illusie, Luc (ed.); Laszlo, Yves (ed.); Orgogozo, Fabrice (ed.) 21 2014 Exposé X. Gabber’s modification theorem (log smooth case). Zbl 1327.14072Illusie, Luc; Temkin, Michael 5 2014 Exposé VIII. Gabber’s modification theorem (absolute case). Zbl 1327.14071Illusie, Luc; Temkin, Michael 5 2014 Exposé XI. Oriented products. Zbl 1320.18003Illusie, Luc 2 2014 Exposé XVIII\(_A\). Cohomological dimension: first results. Zbl 1320.14026Illusie, Luc 1 2014 Introduction. Zbl 1320.14002Illusie, Luc; Laszlo, Yves; Orgogozo, Fabrice 1 2014 Odds and ends on finite group actions and traces. Zbl 1360.14120Illusie, Luc; Zheng, Weizhe 7 2013 On log flat descent. Zbl 1275.14005Illusie, Luc; Nakayama, Chikara; Tsuji, Takeshi 3 2013 Reminiscences of Grothendieck and his school. Zbl 1209.14002Illusie, Luc; Beilinson, Alexander; Bloch, Spencer; Drinfeld, Vladimir 1 2010 Miscellany on traces in \(\ell\)-adic cohomology: a survey. Zbl 1156.14309Illusie, Luc 12 2006 Fundamental algebraic geometry: Grothendieck’s FGA explained. Zbl 1085.14001Fantechi, Barbara; Göttsche, Lothar; Illusie, Luc; Kleiman, Steven L.; Nitsure, Nitin; Vistoli, Angelo 88 2005 Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024Illusie, Luc; Kato, Kazuya; Nakayama, Chikara 17 2005 On semistable reduction and the calculation of nearby cycles. Zbl 1081.14026Illusie, Luc 6 2004 Perversity and variation. Zbl 1036.14008Illusie, Luc 5 2003 An overview of the work of K. Fujiwara, K. Kato, and C. Nakayama on logarithmic étale cohomology. Zbl 1052.14005Illusie, Luc 24 2002 Introduction to Hodge theory. Transl. from the French by James Lewis and Chris Peters. Zbl 0996.14003Bertin, José; Demailly, Jean-Pierre; Illusie, Luc; Peters, Chris 10 2002 \(p\)-adic cohomology and arithmetic applications (II). Zbl 0990.00020Berthelot, Pierre (ed.); Fontaine, Jean-Marc (ed.); Illusie, Luc (ed.); Kato, Kazuya (ed.); Rapoport, Michael (ed.) 2 2002 Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031Usui, Sampei (ed.); Green, Mark (ed.); Illusie, Luc (ed.); Kato, Kazuya (ed.); Looijenga, Eduard (ed.); Mukai, Shigeru (ed.); Saito, Shuji (ed.) 1 2002 Introduction to Hodge theory. Zbl 0849.14002Bertin, José; Demailly, Jean-Pierre; Illusie, Luc; Peters, Chris 3 1996 On the local monodromy theorem. Zbl 0837.14013Illusie, Luc 33 1994 Logarithmic spaces (according to K. Kato). Zbl 0832.14015Illusie, Luc 10 1994 Crystalline cohomology. Zbl 0811.14015Illusie, Luc 8 1994 \(p\)-adic periods: A survey. Zbl 0836.14010Fontaine, J.-M.; Illusie, L. 5 1993 \(l\)-adic realization of monodromy pairing after A. Grothendieck. Zbl 0781.14011Illusie, Luc 4 1991 Ordinarité des intersections complètes générales. (Ordinarity of general complete intersections). Zbl 0728.14021Illusie, Luc 14 1990 De Rham and \(p\)-adic etale cohomology [after G. Faltings, J.-M. Fontaine and others ]. Zbl 0736.14005Illusie, Luc 14 1990 Réduction semi-stable et décomposition de complexes de de Rham à coefficients. (Semi-stable reduction and decomposition of de Rham complexes with coefficients). Zbl 0708.14014Illusie, Luc 13 1990 The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume I. Zbl 0717.00008Cartier, P. (ed.); Illusie, L. (ed.); Katz, N. M. (ed.); Laumon, G. (ed.); Manin, Y. (ed.); Ribet, K. A. (ed.) 2 1990 The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume II. Zbl 0717.00009Cartier, P. (ed.); Illusie, L. (ed.); Katz, N. M. (ed.); Laumon, G. (ed.); Manin, Y. (ed.); Ribet, K. A. (ed.) 1 1990 Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex). Zbl 0632.14017Deligne, Pierre; Illusie, Luc 117 1987 Deformations of Barsotti-Tate groups (after A. Grothendieck). Zbl 1182.14050Illusie, Luc 34 1985 Les suites spectrales associées au complexe de De Rham-Witt. Zbl 0538.14012Illusie, Luc; Raynaud, Michel 57 1983 Finiteness, duality, and Künneth theorems in the cohomology of the De Rham Witt complex. Zbl 0538.14013Illusie, L. 10 1983 Théorie de Brauer et caractéristique d’Euler-Poincaré. (D’apres P. Deligne). Zbl 0496.14013Illusie, Luc 16 1981 Surfaces algébriques. Seminaire de Géométrie Algebrique d’Orsay 1976-78. Zbl 0452.00012Giraud, J. (ed.); Illusie, L. (ed.); Raynaud, M. (ed.) 1 1981 Complexe de De Rham-Witt et cohomologie cristalline. Zbl 0436.14007Illusie, Luc 204 1979 de Rham-Witt complex. Zbl 0446.14008Illusie, Luc 8 1979 Calculs de termes locaux. Zbl 0354.14006Illusie, Luc 2 1977 Cohomologie cristalline (d’apres P. Berthelot). Zbl 0345.14005Illusie, Luc 1 1976 Report on crystalline cohomology. Zbl 0326.14005Illusie, Luc 8 1975 Travaux de Quillen sur la cohomologie des groupes. Zbl 0255.57021Illusie, Luc 2 1973 Complexe cotangent et déformations. II. Zbl 0238.13017Illusie, Luc 104 1972 Cotangent complex and deformations of torsors and group schemes. Zbl 0238.14016Illusie, Luc 10 1972 Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.). Zbl 0224.13014Illusie, Luc 183 1971 Séminaire de géométrie algébrique du Bois Marie 1966/67, SGA 6.Dirigé par P. Berthelot, A. Grothendieck et L. Illusie, Avec la collaboration de D. Ferrand, J. P. Jouanolou, O. Jussilia, S. Kleiman, M. Raynaud et J. P. Serre. Théorie des intersections et théorème de Riemann-Roch. Zbl 0218.14001Berthelot, P. (ed.); Grothendieck, A. (ed.); Illusie, L. (ed.) 113 1971 Existence de résolutions globales. Zbl 0241.14002Illusie, L. 20 1971 Généralités sur les conditions de finitude dans les catégories dérivées. (Generalities on finiteness conditions in derived categories). Zbl 0229.14009Illusie, L. 11 1971 Conditions of relative finiteness. Zbl 0229.14010Illusie, L. 8 1971 Classes de Chern en cohomologie cristalline. Zbl 0198.26201Berthelot, P.; Illusie, L. 13 1970 Complexe cotangent rélatif d’un faisceau d’algèbres. Zbl 0169.36201Illusie, L. 7 1969 Algèbre homotopique rélative. I, II. Zbl 0169.32802Illusie, L. 1 1969 Nombtes de Chern et groupes finis. Zbl 0201.56401Illusie, L. 3 1968 Complexes quasi-acycliques directs de fibres banachiques. Zbl 0161.43001Illusie, L. 2 1965 all cited Publications top 5 cited Publications all top 5 Cited by 892 Authors 12 Kato, Kazuya 12 Saito, Takeshi 11 Saito, Shuji 10 Illusie, Luc 10 Olsson, Martin C. 9 Hesselholt, Lars 9 Nakayama, Chikara 8 Cegarra, Antonio Martínez 8 Nizioł, Wiesława 8 Suwa, Noriyuki 7 Chinburg, Ted 7 Gros, Michel 7 Lan, Kai-Wen 7 Pappas, Georgios 7 Scholze, Peter 7 Temkin, Michael 7 Thomason, Robert Wayne 6 Bhatt, Bhargav 6 Déglise, Frédéric 6 Esnault, Hélène 6 Kaledin, Dmitry B. 6 Lieblich, Max David 6 Liedtke, Christian 6 Ogus, Arthur 6 Srinivas, Vasudevan 6 Zheng, Weizhe 5 Alonso Tarrío, Leovigildo M. 5 Aravire, Roberto 5 Berthelot, Pierre 5 Breen, Lawrence S. 5 Ekedahl, Torsten 5 Gillet, Henri A. 5 Jeremías López, Ana 5 Kerz, Moritz C. 5 Milne, James Stuart 5 Rössler, Damian Charles 5 Rülling, Kay 5 Talpo, Mattia 5 Tanaka, Hiromu 5 Vasiu, Adrian 5 Vezzosi, Gabriele 5 Vistoli, Angelo 5 Xie, Qihong 4 Abramovich, Dan 4 Andreatta, Fabrizio 4 Antieau, Benjamin 4 Arapura, Donu 4 Banerjee, Abhishek 4 Bleher, Frauke M. 4 Bloch, Spencer J. 4 Cisinski, Denis-Charles 4 Crew, Richard M. 4 de Jong, Aise Johan 4 Flenner, Hubert 4 Fulton, William 4 Geisser, Thomas H. 4 Jacob, Bill 4 Jang, Junmyeong 4 Joshi, Kirti 4 Kahn, Bruno 4 Kedlaya, Kiran Sridhara 4 Kleiman, Steven Lawrence 4 Lang, William E. 4 Lau, Eike 4 Laumon, Gérard 4 Melo, Margarida 4 Morrow, Matthew 4 Nicaise, Johannes 4 Nygaard, Niels O. 4 Ramachandran, Niranjan 4 Sato, Kanetomo 4 Schröer, Stefan 4 Soulé, Christophe 4 Stroh, Benoît 4 Taylor, Martin J. 4 Thomas, Richard Paul 4 Ulmer, Douglas L. 4 Usui, Sampei 4 Viviani, Filippo 4 Zhao, Yigeng 3 Adolphson, Alan 3 Ara, Dimitri 3 Auel, Asher Natan 3 Biswas, Indranil 3 Borger, James M. 3 Breuil, Christophe 3 Buchweitz, Ragnar-Olaf 3 Bullejos, Manuel 3 Cabello, Julia G. 3 Cais, Bryden 3 Carchedi, David Joseph 3 Cascini, Paolo 3 Christophersen, Jan Arthur 3 Colliot-Thélène, Jean-Louis 3 de Cataldo, Mark Andrea A. 3 Denef, Jan 3 Ertl, Veronika 3 Etesse, Jean-Yves 3 Fujisawa, Taro 3 Gálvez-Carrillo, Imma ...and 792 more Authors all top 5 Cited in 140 Serials 71 Advances in Mathematics 58 Compositio Mathematica 53 Inventiones Mathematicae 52 Duke Mathematical Journal 52 Journal of Algebra 39 Mathematische Annalen 38 Journal of Pure and Applied Algebra 34 Annales de l’Institut Fourier 31 Mathematische Zeitschrift 28 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 28 Journal of Algebraic Geometry 24 Manuscripta Mathematica 22 Transactions of the American Mathematical Society 21 Publications Mathématiques 21 Annals of Mathematics. Second Series 15 Bulletin de la Société Mathématique de France 15 Journal of Number Theory 12 Proceedings of the American Mathematical Society 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Nagoya Mathematical Journal 11 Tohoku Mathematical Journal. Second Series 11 Documenta Mathematica 10 Journal of Geometry and Physics 10 Rendiconti del Seminario Matematico della Università di Padova 10 Journal of the American Mathematical Society 10 Algebraic & Geometric Topology 9 Israel Journal of Mathematics 8 Communications in Algebra 8 Journal für die Reine und Angewandte Mathematik 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Journal de Théorie des Nombres de Bordeaux 8 Geometry & Topology 7 Selecta Mathematica. New Series 7 Journal of the Institute of Mathematics of Jussieu 7 Algebra & Number Theory 6 Arkiv för Matematik 6 Proceedings of the Japan Academy. Series A 6 Applied Categorical Structures 5 Acta Mathematica 5 Mémoires de la Société Mathématique de France. Nouvelle Série 5 Transformation Groups 5 Journal of Homotopy and Related Structures 5 Forum of Mathematics, Sigma 5 European Journal of Mathematics 4 Journal of Soviet Mathematics 4 Memoirs of the American Mathematical Society 4 Finite Fields and their Applications 4 Journal of the European Mathematical Society (JEMS) 4 Japanese Journal of Mathematics. 3rd Series 3 Michigan Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Indagationes Mathematicae. New Series 3 Taiwanese Journal of Mathematics 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of \(K\)-Theory 3 Annales Mathématiques du Québec 3 Tunisian Journal of Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica Vietnamica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Canadian Journal of Mathematics 2 Collectanea Mathematica 2 Illinois Journal of Mathematics 2 Mathematische Nachrichten 2 Osaka Journal of Mathematics 2 Results in Mathematics 2 Topology and its Applications 2 Chinese Annals of Mathematics. Series B 2 \(K\)-Theory 2 Differential Geometry and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Expositiones Mathematicae 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Bulletin des Sciences Mathématiques 2 Theory and Applications of Categories 2 Bulletin of the American Mathematical Society 2 Science China. Mathematics 2 Kyoto Journal of Mathematics 2 Research in the Mathematical Sciences 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Kodai Mathematical Journal 1 Mathematika 1 Notre Dame Journal of Formal Logic 1 Proceedings of the London Mathematical Society. Third Series ...and 40 more Serials all top 5 Cited in 33 Fields 799 Algebraic geometry (14-XX) 206 Number theory (11-XX) 167 Category theory; homological algebra (18-XX) 118 Commutative algebra (13-XX) 85 \(K\)-theory (19-XX) 77 Algebraic topology (55-XX) 62 Several complex variables and analytic spaces (32-XX) 46 Associative rings and algebras (16-XX) 32 Field theory and polynomials (12-XX) 31 Group theory and generalizations (20-XX) 25 Differential geometry (53-XX) 19 Manifolds and cell complexes (57-XX) 13 Topological groups, Lie groups (22-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Nonassociative rings and algebras (17-XX) 7 Mathematical logic and foundations (03-XX) 7 Quantum theory (81-XX) 5 General algebraic systems (08-XX) 5 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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