Edit Profile (opens in new tab) Illusie, Luc Compute Distance To: Compute Author ID: illusie.luc Published as: Illusie, Luc; Illusie, L. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 76 Publications since 1965, including 5 Books 13 Contributions as Editor · 12 Further Contributions Co-Authors: 42 Co-Authors with 47 Joint Publications 930 Co-Co-Authors all top 5 Co-Authors 53 single-authored 10 Katz, Nicholas Michael 9 Deligne, Pierre René 7 Cartier, Pierre 7 Laumon, Gérard 6 Berthelot, Pierre 6 Manin, Yuri Ivanovich 6 Ribet, Kenneth Alan 5 Kato, Kazuya 4 Fontaine, Jean-Marc 4 Grothendieck, Alexander 4 Raynaud, Michel 4 Zheng, Weizhe 3 Laszlo, Yves 3 Rapoport, Michael 2 Atiyah, Michael Francis 2 Bertin, José 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 Baouendi, Mohammed Salah 1 Bass, Hyman 1 Beilinson, Alexander A. 1 Bloch, Spencer J. 1 Bokobza, Juliane 1 Boldrighini, Carlo 1 Boutet de Monvel, Louis 1 Boutot, Jean-Francois 1 Bunimovich, Leonid Abramovich 1 Cartan, Henri 1 Cellarosi, Francesco 1 Clozel, Laurent 1 Cohen, Albert 1 De Lellis, Camillo 1 Demazure, Michel 1 Drinfeld, Vladimir Gershonovich 1 Elkik, Renee 1 Fantechi, Barbara 1 Flexor, Marguerite 1 Göttsche, Lothar 1 Green, Mark Lee 1 Greenberg, Marvin Jay 1 Grisvard, Pierre 1 Gurevich, B. M. 1 Hartshorne, Robin 1 Holden, Helge 1 Jackson, Allyn 1 Karoubi, Max 1 Khanin, Konstantin M. 1 Kohn, Robert Vita 1 Kree, Paul 1 Li, Dong 1 Looijenga, Eduard J. N. 1 Martin-Deschamps, Mireille 1 Messing, William 1 Meyer, Yves F. 1 Moret-Bailly, Laurent 1 Morlet, Claude 1 Mukai, Shigeru 1 Mumford, David Bryant 1 Nasar, Sylvia 1 Nash, John Forbes jun. 1 Nirenberg, Louis 1 Nitsure, Nitin 1 Perrin-Riou, Bernadette 1 Pesin, Yakov Borisovich 1 Piene, Ragni 1 Saito, Shuji 1 Schiffmann, Gérard 1 Scholze, Peter 1 Schwartz, Laurent 1 Simányi, Nándor J. 1 Sinaĭ, Yakov Grigor’evich 1 Skinner, Christopher M. 1 Sternheimer, Daniel 1 Szász, Domokos 1 Szpiro, Lucien 1 Tate, John Torrence jun. 1 Tsuji, Takeshi 1 Unterberger, André 1 Usui, Sampei 1 Verdier, Jean-Louis 1 Vistoli, Angelo 1 Wiles, Andrew John all top 5 Serials 6 Astérisque 5 Notices of the American Mathematical Society 5 Lecture Notes in Mathematics 4 Gazette des Mathématiciens 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 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Manuscripta Mathematica 2 IMRN. International Mathematics Research Notices 2 European Mathematical Society Newsletter 1 Acta Mathematica Vietnamica 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matematico della Università di Padova 1 Topology 1 L’Enseignement Mathématique. 2e Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 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 1 Tunisian Journal of Mathematics 1 The Abel Prize all top 5 Fields 84 Algebraic geometry (14-XX) 16 History and biography (01-XX) 16 Commutative algebra (13-XX) 15 General and overarching topics; collections (00-XX) 14 Number theory (11-XX) 14 Category theory; homological algebra (18-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Group theory and generalizations (20-XX) 5 Algebraic topology (55-XX) 4 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 Open 70 Publications have been cited 1,526 times in 1,079 Documents Cited by ▼ Year ▼ Complexe de De Rham-Witt et cohomologie cristalline. Zbl 0436.14007Illusie, Luc 224 1979 Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.). Zbl 0224.13014Illusie, Luc 175 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 132 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 0218.14001 119 1971 Fundamental algebraic geometry: Grothendieck’s FGA explained. Zbl 1085.14001Fantechi, Barbara; Göttsche, Lothar; Illusie, Luc; Kleiman, Steven L.; Nitsure, Nitin; Vistoli, Angelo 115 2005 Complexe cotangent et déformations. II. Zbl 0238.13017Illusie, Luc 105 1972 Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier. Zbl 0345.00010Deligne, Pierre 83 1977 Les suites spectrales associées au complexe de De Rham-Witt. Zbl 0538.14012Illusie, Luc; Raynaud, Michel 61 1983 On the local monodromy theorem. (Exposé I: Autour du théorème de monodrome locale.) Zbl 0837.14013Illusie, Luc 40 1994 Gabber’s work on local uniformization and étale cohomology of quasi-excellent schemes. Seminar at École Polytechnique 2006–2008. (Travaux de Gabber sur l’uniformisation locale et la cohomologie étale des schémas quasi-excellents. Séminaire à l’École Polytechnique 2006–2008.) Zbl 1297.14003 37 2014 Deformations of Barsotti-Tate groups (after A. Grothendieck). (Déformations de groupes de Barsotti-Tate (d’après A. Grothendieck).) Zbl 1182.14050Illusie, Luc 35 1985 An overview of the work of K. Fujiwara, K. Kato, and C. Nakayama on logarithmic étale cohomology. Zbl 1052.14005Illusie, Luc 29 2002 Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024Illusie, Luc; Kato, Kazuya; Nakayama, Chikara 20 2005 Sommes exponentielles. Cours à Orsay, automne 1979. Redige par Gerard Laumon, preface par Luc Illusie. Zbl 0469.12007Katz, Nicholas M. 19 1980 Théorie de Brauer et caractéristique d’Euler-Poincaré. (D’apres P. Deligne). Zbl 0496.14013Illusie, Luc 18 1981 Existence de résolutions globales. Zbl 0241.14002Illusie, L. 17 1971 Miscellany on traces in \(\ell\)-adic cohomology: a survey. Zbl 1156.14309Illusie, Luc 16 2006 Ordinarité des intersections complètes générales. (Ordinarity of general complete intersections). Zbl 0728.14021Illusie, Luc 14 1990 Classes de Chern en cohomologie cristalline. Zbl 0198.26201Berthelot, P.; Illusie, L. 14 1970 Semi-stable reduction and decomposition of de Rham complexes with coefficients. (Réduction semi-stable et décomposition de complexes de de Rham à coefficients.) Zbl 0708.14014Illusie, Luc 13 1990 De Rham and \(p\)-adic etale cohomology [after G. Faltings, J.-M. Fontaine and others ]. (Cohomologie de de Rham et cohomologie étale \(p\)-adique [d’après G. Faltings, J.-M. Fontaine et al.].) Zbl 0736.14005Illusie, Luc 13 1990 Ordinary \(p\)-adic representations. With an appendix by Luc Illusie: Ordinary semi-stable reduction, \(p\)-adic étale cohomology and de Rham cohomology after Bloch-Kato and Hyodo. (Représentations \(p\)-adiques ordinaires. Avec un appendice par Luc Illusie: Réduction semi-stable ordinaire, cohomologie étale \(p\)-adique et cohomologie de de Rham d’après Bloch-Kato et Hyodo.) Zbl 1043.11532Perrin-Riou, Bernadette 12 1994 Logarithmic spaces (according to K. Kato). Zbl 0832.14015Illusie, Luc 11 1994 Finiteness, duality, and Künneth theorems in the cohomology of the De Rham Witt complex. Zbl 0538.14013Illusie, L. 10 1983 Odds and ends on finite group actions and traces. Zbl 1360.14120Illusie, Luc; Zheng, Weizhe 10 2013 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 Seminar on arithmetic bundles: the Mordell conjecture (held at the École Normale Supérieure, Paris 1983–1984). (Séminaire sur les pinceaux arithmétiques: La conjecture de Mordell.) Zbl 0588.14028 9 1985 Relevement des surfaces K3 en caractéristique nulle. (Redige par Luc Illusie). Appendice: Classes de Chern cristallines et intersections (par P. Deligne et L. Illussie). Zbl 0495.14024Deligne, Pierre 8 1981 Généralités sur les conditions de finitude dans les catégories dérivées. (Generalities on finiteness conditions in derived categories). Zbl 0229.14009Illusie, L. 8 1971 On semistable reduction and the calculation of nearby cycles. Zbl 1081.14026Illusie, Luc 8 2004 Crystalline cohomology. Zbl 0811.14015Illusie, Luc 8 1994 Cristaux ordinaires et coordonnées canoniques (avec la collaboration de L. Illusie). Zbl 0537.14012Deligne, Pierre 7 1981 Conditions of relative finiteness. (Conditions de finitude relatives.) Zbl 0229.14010Illusie, L. 7 1971 Perversity and variation. (Perversité et variation.) Zbl 1036.14008Illusie, Luc 7 2003 de Rham-Witt complex. (Complexe de de Rham-Witt.) Zbl 0446.14008Illusie, Luc 7 1979 Complexe cotangent rélatif d’un faisceau d’algèbres. Zbl 0169.36201Illusie, L. 7 1969 Internal reconstruction of unit-root F-crystals via expansion- coefficients. Appendix: ”Some results on partial Hodge-Witt decompositions” by Luc Illusie. Zbl 0592.14021Katz, Nicholas M. 6 1985 Exposé X. Gabber’s modification theorem (log smooth case). Zbl 1327.14072Illusie, Luc; Temkin, Michael 6 2014 Report on crystalline cohomology. Zbl 0326.14005Illusie, Luc 6 1975 Around the Thom-Sebastiani theorem, with an appendix by Weizhe Zheng. Zbl 1395.14010Illusie, Luc 6 2017 \(p\)-adic periods: A survey. Zbl 0836.14010Fontaine, J.-M.; Illusie, L. 6 1993 Exposé VIII. Gabber’s modification theorem (absolute case). Zbl 1327.14071Illusie, Luc; Temkin, Michael 5 2014 Cotangent complex and deformations of torsors and group schemes. Zbl 0238.14016Illusie, Luc 5 1972 Théoremes de finitude en cohomologie \(\ell\)-adique (avec un appendice par L. Illusie). Zbl 0349.14013Deligne, Pierre 5 1977 Introduction to Hodge theory. (Introduction à la théorie de Hodge.) Zbl 0849.14002Bertin, José; Demailly, Jean-Pierre; Illusie, Luc; Peters, Chris 5 1996 On log flat descent. Zbl 1275.14005Illusie, Luc; Nakayama, Chikara; Tsuji, Takeshi 5 2013 Quotient stacks and equivariant étale cohomology algebras: Quillen’s theory revisited. Zbl 1358.14009Illusie, Luc; Zheng, Weizhe 4 2016 Complexes dualisants. (Redaction de L. Illusie). Zbl 0356.14004Grothendieck, A. 4 1977 \(l\)-adic realization of monodromy pairing after A. Grothendieck. (Réalisation \(l\)-adique de l’accouplement de monodromie d’après A. Grothendieck.) Zbl 0781.14011Illusie, Luc 4 1991 Nombtes de Chern et groupes finis. Zbl 0201.56401Illusie, L. 3 1968 Exposé XI. Oriented products. (Exposé XI. Produits orientés.) Zbl 1320.18003Illusie, Luc 3 2014 Formule de Lefschetz. (Rédigé par L. Illusie). Zbl 0355.14004Grothendieck, A. 2 1977 Travaux de Quillen sur la cohomologie des groupes. Zbl 0255.57021Illusie, Luc 2 1973 Cohomologie cristalline (d’apres P. Berthelot). Zbl 0345.14005Illusie, Luc 2 1976 The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume I. Zbl 0717.00008 2 1990 Complexes quasi-acycliques directs de fibres banachiques. Zbl 0161.43001Illusie, L. 2 1965 \(p\)-adic cohomology and arithmetic applications (II). (Cohomologies \(p\)-adiques et applications arithmétiques (II).) Zbl 0990.00020 2 2002 Catégories dérivées et dualité, travaux de J.-L. Verdier. (Derived categories and duality, papers of J.-L. Verdier). Zbl 0719.01012Illusie, Luc 1 1990 From Pierre Deligne’s secret garden: looking back at some of his letters. Zbl 1335.32023Illusie, Luc 1 2015 About the Picard-Lefschetz formula. (Sur la formule de Picard-Lefschetz.) Zbl 1061.14011Illusie, Luc 1 2002 Calculs de termes locaux. Zbl 0354.14006Illusie, Luc 1 1977 Grothendieck and algebraic geometry. Zbl 1322.01047Illusie, Luc; Raynaud, Michel 1 2015 Elementary abelian \(\ell\)-groups and mod \(\ell\) equivariant étale cohomology algebras. Zbl 1327.14094Illusie, Luc 1 2015 Introduction. Zbl 1320.14002Illusie, Luc; Laszlo, Yves; Orgogozo, Fabrice 1 2014 Exposé XVIII\(_A\). Cohomological dimension: first results. Zbl 1320.14026Illusie, Luc 1 2014 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L. 1 2016 Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031 1 2002 Surfaces algébriques. Seminaire de Géométrie Algebrique d’Orsay 1976-78. Zbl 0452.00012 1 1981 The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume II. Zbl 0717.00009 1 1990 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 6 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 1338.01022Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L. 1 2016 From Pierre Deligne’s secret garden: looking back at some of his letters. Zbl 1335.32023Illusie, Luc 1 2015 Grothendieck and algebraic geometry. Zbl 1322.01047Illusie, Luc; Raynaud, Michel 1 2015 Elementary abelian \(\ell\)-groups and mod \(\ell\) equivariant étale cohomology algebras. Zbl 1327.14094Illusie, Luc 1 2015 Gabber’s work on local uniformization and étale cohomology of quasi-excellent schemes. Seminar at École Polytechnique 2006–2008. (Travaux de Gabber sur l’uniformisation locale et la cohomologie étale des schémas quasi-excellents. Séminaire à l’École Polytechnique 2006–2008.) Zbl 1297.14003 37 2014 Exposé X. Gabber’s modification theorem (log smooth case). Zbl 1327.14072Illusie, Luc; Temkin, Michael 6 2014 Exposé VIII. Gabber’s modification theorem (absolute case). Zbl 1327.14071Illusie, Luc; Temkin, Michael 5 2014 Exposé XI. Oriented products. (Exposé XI. Produits orientés.) Zbl 1320.18003Illusie, Luc 3 2014 Introduction. Zbl 1320.14002Illusie, Luc; Laszlo, Yves; Orgogozo, Fabrice 1 2014 Exposé XVIII\(_A\). Cohomological dimension: first results. Zbl 1320.14026Illusie, Luc 1 2014 Odds and ends on finite group actions and traces. Zbl 1360.14120Illusie, Luc; Zheng, Weizhe 10 2013 On log flat descent. Zbl 1275.14005Illusie, Luc; Nakayama, Chikara; Tsuji, Takeshi 5 2013 Miscellany on traces in \(\ell\)-adic cohomology: a survey. Zbl 1156.14309Illusie, Luc 16 2006 Fundamental algebraic geometry: Grothendieck’s FGA explained. Zbl 1085.14001Fantechi, Barbara; Göttsche, Lothar; Illusie, Luc; Kleiman, Steven L.; Nitsure, Nitin; Vistoli, Angelo 115 2005 Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024Illusie, Luc; Kato, Kazuya; Nakayama, Chikara 20 2005 On semistable reduction and the calculation of nearby cycles. Zbl 1081.14026Illusie, Luc 8 2004 Perversity and variation. (Perversité et variation.) Zbl 1036.14008Illusie, Luc 7 2003 An overview of the work of K. Fujiwara, K. Kato, and C. Nakayama on logarithmic étale cohomology. Zbl 1052.14005Illusie, Luc 29 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). (Cohomologies \(p\)-adiques et applications arithmétiques (II).) Zbl 0990.00020 2 2002 About the Picard-Lefschetz formula. (Sur la formule de Picard-Lefschetz.) Zbl 1061.14011Illusie, Luc 1 2002 Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031 1 2002 Introduction to Hodge theory. (Introduction à la théorie de Hodge.) Zbl 0849.14002Bertin, José; Demailly, Jean-Pierre; Illusie, Luc; Peters, Chris 5 1996 On the local monodromy theorem. (Exposé I: Autour du théorème de monodrome locale.) Zbl 0837.14013Illusie, Luc 40 1994 Ordinary \(p\)-adic representations. With an appendix by Luc Illusie: Ordinary semi-stable reduction, \(p\)-adic étale cohomology and de Rham cohomology after Bloch-Kato and Hyodo. (Représentations \(p\)-adiques ordinaires. Avec un appendice par Luc Illusie: Réduction semi-stable ordinaire, cohomologie étale \(p\)-adique et cohomologie de de Rham d’après Bloch-Kato et Hyodo.) Zbl 1043.11532Perrin-Riou, Bernadette 12 1994 Logarithmic spaces (according to K. Kato). Zbl 0832.14015Illusie, Luc 11 1994 Crystalline cohomology. Zbl 0811.14015Illusie, Luc 8 1994 \(p\)-adic periods: A survey. Zbl 0836.14010Fontaine, J.-M.; Illusie, L. 6 1993 \(l\)-adic realization of monodromy pairing after A. Grothendieck. (Réalisation \(l\)-adique de l’accouplement de monodromie d’après A. Grothendieck.) Zbl 0781.14011Illusie, Luc 4 1991 Ordinarité des intersections complètes générales. (Ordinarity of general complete intersections). Zbl 0728.14021Illusie, Luc 14 1990 Semi-stable reduction and decomposition of de Rham complexes with coefficients. (Réduction semi-stable et décomposition de complexes de de Rham à coefficients.) Zbl 0708.14014Illusie, Luc 13 1990 De Rham and \(p\)-adic etale cohomology [after G. Faltings, J.-M. Fontaine and others ]. (Cohomologie de de Rham et cohomologie étale \(p\)-adique [d’après G. Faltings, J.-M. Fontaine et al.].) Zbl 0736.14005Illusie, Luc 13 1990 The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume I. Zbl 0717.00008 2 1990 Catégories dérivées et dualité, travaux de J.-L. Verdier. (Derived categories and duality, papers of J.-L. Verdier). Zbl 0719.01012Illusie, Luc 1 1990 The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume II. Zbl 0717.00009 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 132 1987 Deformations of Barsotti-Tate groups (after A. Grothendieck). (Déformations de groupes de Barsotti-Tate (d’après A. Grothendieck).) Zbl 1182.14050Illusie, Luc 35 1985 Seminar on arithmetic bundles: the Mordell conjecture (held at the École Normale Supérieure, Paris 1983–1984). (Séminaire sur les pinceaux arithmétiques: La conjecture de Mordell.) Zbl 0588.14028 9 1985 Internal reconstruction of unit-root F-crystals via expansion- coefficients. Appendix: ”Some results on partial Hodge-Witt decompositions” by Luc Illusie. Zbl 0592.14021Katz, Nicholas M. 6 1985 Les suites spectrales associées au complexe de De Rham-Witt. Zbl 0538.14012Illusie, Luc; Raynaud, Michel 61 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 18 1981 Relevement des surfaces K3 en caractéristique nulle. (Redige par Luc Illusie). Appendice: Classes de Chern cristallines et intersections (par P. Deligne et L. Illussie). Zbl 0495.14024Deligne, Pierre 8 1981 Cristaux ordinaires et coordonnées canoniques (avec la collaboration de L. Illusie). Zbl 0537.14012Deligne, Pierre 7 1981 Surfaces algébriques. Seminaire de Géométrie Algebrique d’Orsay 1976-78. Zbl 0452.00012 1 1981 Sommes exponentielles. Cours à Orsay, automne 1979. Redige par Gerard Laumon, preface par Luc Illusie. Zbl 0469.12007Katz, Nicholas M. 19 1980 Complexe de De Rham-Witt et cohomologie cristalline. Zbl 0436.14007Illusie, Luc 224 1979 de Rham-Witt complex. (Complexe de de Rham-Witt.) Zbl 0446.14008Illusie, Luc 7 1979 Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier. Zbl 0345.00010Deligne, Pierre 83 1977 Théoremes de finitude en cohomologie \(\ell\)-adique (avec un appendice par L. Illusie). Zbl 0349.14013Deligne, Pierre 5 1977 Complexes dualisants. (Redaction de L. Illusie). Zbl 0356.14004Grothendieck, A. 4 1977 Formule de Lefschetz. (Rédigé par L. Illusie). Zbl 0355.14004Grothendieck, A. 2 1977 Calculs de termes locaux. Zbl 0354.14006Illusie, Luc 1 1977 Cohomologie cristalline (d’apres P. Berthelot). Zbl 0345.14005Illusie, Luc 2 1976 Report on crystalline cohomology. Zbl 0326.14005Illusie, Luc 6 1975 Travaux de Quillen sur la cohomologie des groupes. Zbl 0255.57021Illusie, Luc 2 1973 Complexe cotangent et déformations. II. Zbl 0238.13017Illusie, Luc 105 1972 Cotangent complex and deformations of torsors and group schemes. Zbl 0238.14016Illusie, Luc 5 1972 Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.). Zbl 0224.13014Illusie, Luc 175 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 0218.14001 119 1971 Existence de résolutions globales. Zbl 0241.14002Illusie, L. 17 1971 Généralités sur les conditions de finitude dans les catégories dérivées. (Generalities on finiteness conditions in derived categories). Zbl 0229.14009Illusie, L. 8 1971 Conditions of relative finiteness. (Conditions de finitude relatives.) Zbl 0229.14010Illusie, L. 7 1971 Classes de Chern en cohomologie cristalline. Zbl 0198.26201Berthelot, P.; Illusie, L. 14 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 963 Authors 14 Saito, Takeshi 13 Illusie, Luc 13 Kato, Kazuya 11 Olsson, Martin C. 11 Saito, Shuji 10 Bhatt, Bhargav 9 Hesselholt, Lars 9 Nakayama, Chikara 9 Zheng, Weizhe 8 Cegarra, Antonio Martínez 8 Nizioł, Wiesława 8 Suwa, Noriyuki 8 Tanaka, Hiromu 7 Déglise, Frédéric 7 Esnault, Hélène 7 Gros, Michel 7 Lan, Kai-Wen 7 Liedtke, Christian 7 Pappas, Georgios 7 Scholze, Peter 7 Srinivas, Vasudevan 7 Temkin, Michael 7 Thomason, Robert Wayne 6 Antieau, Benjamin 6 Chinburg, Ted 6 Geisser, Thomas H. 6 Kaledin, Dmitry B. 6 Kerz, Moritz C. 6 Lieblich, Max David 6 Morrow, Matthew 6 Ogus, Arthur 5 Achinger, Piotr 5 Alonso Tarrío, Leovigildo M. 5 Aravire, Roberto 5 Berthelot, Pierre 5 Breen, Lawrence S. 5 Cisinski, Denis-Charles 5 de Cataldo, Mark Andrea A. 5 Ekedahl, Torsten 5 Gillet, Henri A. 5 Jeremías López, Ana 5 Joshi, Kirti 5 Mathew, Akhil 5 Milne, James Stuart 5 Rössler, Damian Charles 5 Rülling, Kay 5 Sato, Kanetomo 5 Schröer, Stefan 5 Talpo, Mattia 5 Vasiu, Adrian 5 Vezzosi, Gabriele 5 Vistoli, Angelo 5 Xie, Qihong 5 Zdanowicz, Maciej Emilian 4 Abramovich, Dan 4 Andreatta, Fabrizio 4 Arapura, Donu 4 Banerjee, Abhishek 4 Bloch, Spencer J. 4 Chiarellotto, Bruno 4 Crew, Richard M. 4 de Jong, Aise Johan 4 Ertl, Veronika 4 Flenner, Hubert 4 Fulton, William 4 Gálvez-Carrillo, Imma 4 Jacob, Bill 4 Jang, Junmyeong 4 Kedlaya, Kiran Sridhara 4 Kleiman, Steven Lawrence 4 Kovács, Sándor J. 4 Krishna, Amalendu 4 Kurihara, Masato 4 Lang, William E. 4 Lau, Eike 4 Laumon, Gérard 4 Lu, Qing 4 Melo, Margarida 4 Nakkajima, Yukiyoshi 4 Nicaise, Johannes 4 Nygaard, Niels O. 4 Ramachandran, Niranjan 4 Ricolfi, Andrea T. 4 Soulé, Christophe 4 Stroh, Benoît 4 Taylor, Martin J. 4 Thomas, Richard Paul 4 Tonks, Andrew 4 Usui, Sampei 4 Viviani, Filippo 4 Zhao, Yigeng 3 Adolphson, Alan 3 Auel, Asher Natan 3 Biswas, Indranil 3 Bleher, Frauke M. 3 Blickle, Manuel 3 Borger, James M. 3 Breuil, Christophe 3 Buchweitz, Ragnar-Olaf 3 Bullejos, Manuel ...and 863 more Authors all top 5 Cited in 148 Serials 67 Advances in Mathematics 67 Compositio Mathematica 57 Duke Mathematical Journal 53 Inventiones Mathematicae 51 Journal of Algebra 44 Mathematische Annalen 40 Journal of Pure and Applied Algebra 36 Mathematische Zeitschrift 34 Annales de l’Institut Fourier 29 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 29 Journal of Algebraic Geometry 27 Manuscripta Mathematica 25 Transactions of the American Mathematical Society 21 Publications Mathématiques 21 Annals of Mathematics. Second Series 16 Journal of Number Theory 16 Journal für die Reine und Angewandte Mathematik 15 Bulletin de la Société Mathématique de France 15 Documenta Mathematica 14 Journal of the American Mathematical Society 13 Proceedings of the American Mathematical Society 12 Nagoya Mathematical Journal 12 Tôhoku Mathematical Journal. Second Series 11 Israel Journal of Mathematics 11 Rendiconti del Seminario Matematico della Università di Padova 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Journal of the Institute of Mathematics of Jussieu 10 Selecta Mathematica. New Series 10 Algebraic & Geometric Topology 9 Communications in Algebra 9 Forum of Mathematics, Sigma 9 European Journal of Mathematics 8 Journal of Geometry and Physics 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Journal de Théorie des Nombres de Bordeaux 8 Geometry & Topology 7 Applied Categorical Structures 7 Journal of the European Mathematical Society (JEMS) 7 Algebra & Number Theory 6 Arkiv för Matematik 6 Proceedings of the Japan Academy. Series A 5 Acta Mathematica 5 Memoirs of the American Mathematical Society 5 Mémoires de la Société Mathématique de France. Nouvelle Série 5 Finite Fields and their Applications 5 Transformation Groups 5 Journal of Homotopy and Related Structures 4 Journal of Soviet Mathematics 4 Michigan Mathematical Journal 4 Indagationes Mathematicae. New Series 4 Japanese Journal of Mathematics. 3rd Series 4 Annales Mathématiques du Québec 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Osaka Journal of Mathematics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of \(K\)-Theory 3 Tunisian Journal of Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 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 Results in Mathematics 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 Bulletin des Sciences Mathématiques 2 Theory and Applications of Categories 2 Taiwanese Journal of Mathematics 2 Communications in Contemporary Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 International Journal of Number Theory 2 Bulletin of the American Mathematical Society 2 Science China. Mathematics 2 Kyoto Journal of Mathematics 2 Forum of Mathematics, Pi 2 Research in the Mathematical Sciences 2 Annales Henri Lebesgue 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan ...and 48 more Serials all top 5 Cited in 34 Fields 887 Algebraic geometry (14-XX) 227 Number theory (11-XX) 168 Category theory; homological algebra (18-XX) 126 Commutative algebra (13-XX) 101 \(K\)-theory (19-XX) 78 Algebraic topology (55-XX) 70 Several complex variables and analytic spaces (32-XX) 49 Associative rings and algebras (16-XX) 33 Group theory and generalizations (20-XX) 32 Field theory and polynomials (12-XX) 26 Differential geometry (53-XX) 20 Manifolds and cell complexes (57-XX) 16 Topological groups, Lie groups (22-XX) 12 Global analysis, analysis on manifolds (58-XX) 8 Nonassociative rings and algebras (17-XX) 7 Mathematical logic and foundations (03-XX) 6 Quantum theory (81-XX) 5 General algebraic systems (08-XX) 5 Computer science (68-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-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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