Edit Profile (opens in new tab) Oort, Frans Co-Author Distance Author ID: oort.frans Published as: Oort, Frans; Oort, F. Further Spellings: Оорт Франс Homepage: https://webspace.science.uu.nl/~oort0109/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 131 Publications since 1961, including 6 Books and 1 Additional arXiv Preprint 11 Contributions as Editor · 2 Further Contributions Reviewing Activity: 13 Reviews Biographic References: 1 Publication Co-Authors: 54 Co-Authors with 62 Joint Publications 1,890 Co-Co-Authors all top 5 Co-Authors 80 single-authored 13 Chai, Chingli 4 Katsura, Toshiyuki 3 Cornelissen, Gunther 3 de Jong, Aise Johan 3 Lenstra, Hendrik W. jun. 3 Pries, Rachel J. 3 Sekiguchi, Tsutomu 3 Van der Geer, Gerard 3 Zarkhin, Yuriĭ Gennad’evich 2 Abramovich, Dan 2 Chinburg, Ted 2 Conrad, Brian 2 Glass, Darren B. 2 Ji, Lizhen 2 Lehr, Claus-Michael 2 Matignon, Michel 2 Moonen, Ben 2 Oda, Tadao 2 Steenbrink, Joseph H. M. 2 Tate, John Torrence jun. 2 Yau, Shing-Tung 1 Achter, Jeff 1 Andreatta, Fabrizio 1 Bary-Soroker, Lior 1 Beukers, Frits 1 Bhatt, Bhargav 1 Boland, Johan Christoph 1 Bos, Henk J. M. 1 Bouw, Irene I. 1 Cassou-Noguès, Philippe 1 Edixhoven, Sebastiaan Johan 1 Esnault, Hélène 1 Faber, Carel Filip 1 Gasbarri, Carlo 1 Goren, Eyal Z. 1 Gross, Benedict Hyman 1 Harashita, Shushi 1 Harbater, David 1 Hauser, Herwig 1 Hogendijk, Jan Pieter 1 Ibukiyama, Tomoyoshi 1 Kers, C. 1 Li, Kezheng 1 Lipman, Joseph 1 Luca, Florian 1 Matsumura, Hideyuki 1 Morin, Baptiste 1 Mumford, David Bryant 1 Norman, Peter 1 Peters, Christiaan Anthonius Maria 1 Quirós Gracián, Adolfo 1 Raven, D. W. 1 Schappacher, Norbert 1 Shiho, Atsushi 1 Strooker, Jan Rustom 1 Suwa, Noriyuki 1 Taylor, Martin J. 1 Tsimerman, Jacob 1 Ueno, Kenji 1 Van der Blij, Frederik 1 van der Put, Marius 1 van Geemen, Bert 1 van Rossum, Herman 1 Wewers, Stefan 1 Yu, Chia-Fu 1 Zieve, Michael E. 1 Zink, Thomas all top 5 Serials 14 Nieuw Archief voor Wiskunde. Vijfde Serie 8 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 6 Mathematische Annalen 5 Annals of Mathematics. Second Series 4 Compositio Mathematica 4 Inventiones Mathematicae 4 Journal of Pure and Applied Algebra 3 Journal of Algebraic Geometry 3 Progress in Mathematics 3 Advanced Lectures in Mathematics (ALM) 3 ICCM Notices 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of the American Mathematical Society 2 Expositiones Mathematicae 2 Nieuw Archief voor Wiskunde. Vierde Serie 2 Pure and Applied Mathematics Quarterly 2 Lecture Notes in Mathematics 1 American Mathematical Monthly 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Advances in Mathematics 1 Bulletin de la Société Mathématique de France 1 Indagationes Mathematicae 1 Journal of Algebra 1 Journal of the Faculty of Science. Section I A 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Rendiconti del Seminario Matematico della Università di Padova 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Documenta Mathematica 1 Taiwanese Journal of Mathematics 1 Proceedings of the Cambridge Philosophical Society 1 Epsilon Uitgaven 1 Mathematical Surveys and Monographs 1 Algebraic Geometry all top 5 Fields 111 Algebraic geometry (14-XX) 35 Number theory (11-XX) 23 General and overarching topics; collections (00-XX) 18 History and biography (01-XX) 6 Several complex variables and analytic spaces (32-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 1,459 times in 942 Documents Cited by ▼ Year ▼ Group schemes of prime order. Zbl 0195.50801 Tate, John; Oort, Frans 123 1970 Commutative group schemes. Zbl 0216.05603 Oort, F. 82 1966 Moduli of supersingular abelian varieties. Zbl 0920.14021 Li, Ke-Zheng; Oort, Frans 59 1998 A stratification of a moduli space of abelian varieties. Zbl 1052.14047 Oort, Frans 51 2001 Poncelet’s closure theorem. Zbl 0633.51014 Bos, H. J. M.; Kers, C.; Oort, F.; Raven, D. W. 49 1987 Supersingular curves of genus two and class numbers. Zbl 0589.14028 Ibukiyama, Tomoyoshi; Katsura, Toshiyuki; Oort, Frans 48 1986 On the deformation of Artin-Schreier to Kummer. Zbl 0714.14024 Sekiguchi, Tsutomu; Oort, Frans; Suwa, Noriyuki 47 1989 The Torelli locus and special subvarieties. Zbl 1322.14065 Moonen, Ben; Oort, Frans 41 2013 Moduli of abelian varieties. Zbl 0483.14010 Norman, Peter; Oort, Frans 40 1980 Foliations in moduli spaces of abelian varieties. Zbl 1041.14018 Oort, Frans 39 2004 Families of supersingular abelian surfaces. Zbl 0636.14017 Katsura, Toshiyuki; Oort, Frans 38 1987 Representability of group functors, and automorphisms of algebraic schemes. Zbl 0173.22504 Matsumura, H.; Oort, F. 35 1967 Purity of the stratification by Newton polygons. Zbl 0954.14007 de Jong, A. J.; Oort, F. 33 2000 Subvarieties of moduli spaces. Zbl 0259.14011 Oort, Frans 33 1974 Principally polarized Abelian varieties of dimension two or three are Jacobian varieties. Zbl 0272.14008 Oort, Frans; Ueno, Kenji 33 1973 Which abelian surfaces are products of elliptic curves? Zbl 0283.14007 Oort, Frans 32 1975 Stratifications of Hilbert modular varieties. Zbl 0973.14010 Goren, E. Z.; Oort, F. 30 2000 The local Torelli problem for algebraic curves. Zbl 0444.14007 Oort, Frans; Steenbrink, Joseph 30 1980 Complex multiplication and lifting problems. Zbl 1298.14001 Chai, Ching-Li; Conrad, Brian; Oort, Frans 30 2014 Newton polygon strata in the moduli space of abelian varieties. Zbl 1086.14037 Oort, Frans 25 2001 Minimal \(p\)-divisible groups. Zbl 1081.14065 Oort, Frans 24 2005 Newton polygons and formal groups: Conjectures by Manin and Grothendieck. Zbl 0991.14016 Oort, Frans 21 2000 Canonical liftings and dense sets of CM-points. Zbl 0911.14018 Oort, Frans 21 1997 Finite group schemes, local moduli for abelian varieties, and lifting problems. Zbl 0223.14024 Oort, Frans 19 1971 Endomorphism algebras of abelian varieties. Zbl 0697.14029 Oort, F. 18 1988 Deformations and liftings of finite, commutative group schemes. Zbl 0179.49901 Oort, F.; Mumford, D. 17 1968 Families of \(p\)-divisible groups with constant Newton polygon. Zbl 1022.14013 Oort, Frans; Zink, Thomas 16 2002 On extending families of curves. Zbl 0922.14017 de Jong, A. J.; Oort, F. 16 1997 Abelian varieties having purely additive reduction. Zbl 0557.14022 Lenstra, H. W. jun.; Oort, F. 15 1985 Yoneda extensions in Abelian categories. Zbl 0126.03401 Oort, F. 15 1964 Open problems in algebraic geometry. Zbl 1009.11002 Edixhoven, S. J.; Moonen, B. J. J.; Oort, F. 14 2001 Algebraic group schemes in characteristic zero are reduced. Zbl 0173.49002 Oort, F. 14 1966 Abelian varieties isogenous to a Jacobian. Zbl 1263.14032 Chai, Ching-Li; Oort, Frans 13 2012 The isogeny class of a CM-type abelian variety is defined over a finite extension of the prime field. Zbl 0272.14009 Oort, Frans 13 1973 Simple abelian varieties having a prescribed formal isogeny type. Zbl 0279.14009 Lenstra, Hendrik W. jun.; Oort, Frans 13 1974 A construction of generalized Jacobian varieties by group extensions. Zbl 0101.38502 Oort, F. 12 1962 Lifting algebraic curves, abelian varieties, and their endomorphisms to characteristic zero. Zbl 0645.14017 Oort, Frans 11 1987 Monodromy and irreducibility of leaves. Zbl 1228.14021 Chai, Ching-Li; Oort, Frans 11 2011 Alterations and resolution of singularities. Zbl 0996.14007 Abramovich, Dan; Oort, Frans 11 2000 Abelian varieties over finite fields. Zbl 1181.14029 Oort, Frans 11 2008 Reducible and multiple algebraic curves. Zbl 0102.15905 Oort, Frans 11 1961 Sur le schéma de Picard. Zbl 0123.13901 Oort, Frans 11 1962 Hyperelliptic supersingular curves. Zbl 0820.14018 Oort, Frans 11 1991 A stratification of a moduli space of polarized abelian varieties in positive characteristic. Zbl 0974.14030 Oort, Frans 10 1999 Moduli of abelian varieties and \(p\)-divisible groups. Zbl 1188.14028 Chai, Ching-Li; Oort, Frans 9 2009 Moduli of abelian varieties and Newton polygons. Zbl 0734.14016 Oort, Frans 9 1991 A Campedelli surface with torsiongroup Z/2. Zbl 0523.14025 Oort, F.; Peters, C. 8 1981 Stable maps and Hurwitz schemes in mixed characteristics. Zbl 1040.14011 Abramovich, Dan; Oort, Frans 8 2001 Finite group schemes, local moduli for abelian varieties, and lifting problems. Zbl 0239.14018 Oort, Frans 8 1972 Simple \(p\)-kernels of \(p\)-divisible groups. Zbl 1093.14064 Oort, Frans 7 2005 Good and stable reduction of Abelian varieties. Zbl 0266.14016 Oort, Frans 7 1974 Hypersymmetric Abelian varieties. Zbl 1156.14320 Chai, Ching-Li; Oort, Frans 7 2006 Moduli of abelian varieties: a short introduction and survey. Zbl 0979.14022 van der Geer, Gerard; Oort, Frans 6 1999 Abelian subvarieties. Zbl 0861.14037 Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G. 6 1996 A note on the existence of absolutely simple Jacobians. Zbl 1006.14006 Chai, Ching-Li; Oort, Frans 6 2001 Singularities of coarse moduli schemes. Zbl 0349.14003 Oort, Frans 6 1977 Supersingular abelian varieties of dimension two or three and class numbers. Zbl 0656.14025 Katsura, Toshiyuki; Oort, Frans 5 1987 Complete subvarieties of moduli spaces. Zbl 0841.14008 Oort, Frans 5 1995 Endomorphism algebras of complex tori. Zbl 0858.14024 Oort, Frans; Zarhin, Yuri 5 1995 Higher extensions of abelian varieties. Zbl 0161.18101 Oort, Frans; Oda, Tadao 5 1968 Dieudonne modules of finite local group schemes. Zbl 0281.14019 Oort, Frans 5 1974 The canonical lifting of an ordinary Jacobian variety need not be a Jacobian variety. Zbl 0605.14031 Oort, Frans; Sekiguchi, Tsutomu 5 1986 Supersingular abelian varieties. Zbl 0402.14016 Oda, Tadao; Oort, Frans 5 1977 Moduli of abelian varieties in mixed and in positive characteristic. Zbl 1322.14066 Oort, Frans 5 2013 Foliations in moduli spaces of abelian varieties and dimension of leaves. Zbl 1247.14047 Oort, Frans 5 2009 Problems from the Workshop on Automorphisms of Curves. Zbl 1167.14312 4 2005 A compactification of a fine moduli space of curves. Zbl 1002.14006 van Geemen, Bert; Oort, Frans 4 2000 Natural maps of extension functors. Zbl 0113.24706 Oort, F. 4 1963 Algebraic geometry, Oslo 1970. Proceedings of the 5th Nordic Summer- School in mathematics, Oslo, August 5-25, 1970. Zbl 0237.00014 4 1972 CM-liftings of abelian varieties. Zbl 0803.14025 Oort, Frans 4 1992 On the deformations of Witt groups to tori. Zbl 0800.14023 Sekiguchi, Tsutomu; Oort, F. 4 1986 The Weil conjectures. Zbl 1358.01047 Oort, Frans 4 2014 The Riemann-Hurwitz formula. Zbl 1354.14044 Oort, Frans 4 2016 Some questions in algebraic geometry. Zbl 1428.14004 Oort, Frans 4 2019 Grothendieck: the new algebraic geometry. Zbl 1182.01012 Oort, Frans 3 2009 Moduli of abelian varieties in positive characteristic. Zbl 0839.14037 Oort, Frans 3 1994 Lifting an endomorphism of an elliptic curve to characteristic zero. Zbl 0266.14014 Oort, Frans 3 1973 Hyperelliptic curves over number fields. Zbl 0299.14017 Oort, Frans 3 1974 Fine and coarse moduli schemes are different. Zbl 0317.14012 Oort, F. 3 1974 Newton polygons and \(p\)-divisible groups: a conjecture by Grothendieck. Zbl 1078.14063 Oort, Frans 3 2005 The Hecke orbit conjecture: a survey and outlook. Zbl 1427.14091 Chai, Ching-Li; Oort, Frans 3 2019 Resolution of singularities. A research textbook in tribute to Oscar Zariski. Based on the courses given at the working week in Obergurgl, Austria, September 7–14, 1997. Zbl 0932.00042 2 2000 Moduli of abelian varieties. Proceedings of the 3rd Texel conference, Texel Island, Netherlands, April 1999. Zbl 0958.00023 2 2001 The category of finite bialgebras over a field. Zbl 0166.01103 Oort, F.; Strooker, J. R. 2 1967 Isogenies of formal groups. Zbl 0315.14016 Oort, Frans 2 1975 Complex tori. Zbl 0879.14023 Oort, Frans; Zarhin, Yuri G. 2 1996 A construction of an abelian variety with a given endomorphism algebra. Zbl 0656.14024 Oort, F.; van der Put, M. 1 1988 Alterations can remove singularities. Zbl 0928.14012 Oort, Frans 1 1998 On the definition of an abelian category. Zbl 0145.02001 Oort, F. 1 1967 A note on rationality of divisor classes on algebraic schemata (separable case). Zbl 0161.18102 Oort, Frans 1 1963 Hensel’s lemma and rational points over local rings. Zbl 0193.35003 Oort, F. 1 1970 Group schemes of prime order. Zbl 0225.14024 Tate, John; Oort, Frans 1 1972 Singularities of the moduli scheme for curves of genus three. Zbl 0298.14016 Oort, Frans 1 1975 Arithmetic algebraic geometry. Proceedings of the conference held on Texel Island, Netherlands, during the last week of April 1989. Zbl 0711.00011 1 1991 The algebraic fundamental group. Zbl 0911.14006 Oort, Frans 1 1997 “The” general case of S. Lang’s conjecture (after Faltings). Zbl 0811.14025 Oort, Frans 1 1993 Rational curves in fibers. Zbl 0859.14004 Oort, Frans 1 1995 The legacy of Bernhard Riemann after one hundred and fifty years. Volume II. Zbl 1343.01007 1 2016 Finite group schemes and \(p\)-divisible groups. Zbl 1455.14089 Oort, Frans 1 2020 Stratifying Lie strata of Hilbert modular varieties. Zbl 1477.14043 Yu, Chia-Fu; Chai, Ching-Li; Oort, Frans 1 2020 Finite group schemes and \(p\)-divisible groups. Zbl 1455.14089 Oort, Frans 1 2020 Stratifying Lie strata of Hilbert modular varieties. Zbl 1477.14043 Yu, Chia-Fu; Chai, Ching-Li; Oort, Frans 1 2020 Some questions in algebraic geometry. Zbl 1428.14004 Oort, Frans 4 2019 The Hecke orbit conjecture: a survey and outlook. Zbl 1427.14091 Chai, Ching-Li; Oort, Frans 3 2019 The Riemann-Hurwitz formula. Zbl 1354.14044 Oort, Frans 4 2016 The legacy of Bernhard Riemann after one hundred and fifty years. Volume II. Zbl 1343.01007 1 2016 Complex multiplication and lifting problems. Zbl 1298.14001 Chai, Ching-Li; Conrad, Brian; Oort, Frans 30 2014 The Weil conjectures. Zbl 1358.01047 Oort, Frans 4 2014 The Torelli locus and special subvarieties. Zbl 1322.14065 Moonen, Ben; Oort, Frans 41 2013 Moduli of abelian varieties in mixed and in positive characteristic. Zbl 1322.14066 Oort, Frans 5 2013 Abelian varieties isogenous to a Jacobian. Zbl 1263.14032 Chai, Ching-Li; Oort, Frans 13 2012 Monodromy and irreducibility of leaves. Zbl 1228.14021 Chai, Ching-Li; Oort, Frans 11 2011 Moduli of abelian varieties and \(p\)-divisible groups. Zbl 1188.14028 Chai, Ching-Li; Oort, Frans 9 2009 Foliations in moduli spaces of abelian varieties and dimension of leaves. Zbl 1247.14047 Oort, Frans 5 2009 Grothendieck: the new algebraic geometry. Zbl 1182.01012 Oort, Frans 3 2009 Abelian varieties over finite fields. Zbl 1181.14029 Oort, Frans 11 2008 Hypersymmetric Abelian varieties. Zbl 1156.14320 Chai, Ching-Li; Oort, Frans 7 2006 Minimal \(p\)-divisible groups. Zbl 1081.14065 Oort, Frans 24 2005 Simple \(p\)-kernels of \(p\)-divisible groups. Zbl 1093.14064 Oort, Frans 7 2005 Problems from the Workshop on Automorphisms of Curves. Zbl 1167.14312 4 2005 Newton polygons and \(p\)-divisible groups: a conjecture by Grothendieck. Zbl 1078.14063 Oort, Frans 3 2005 Foliations in moduli spaces of abelian varieties. Zbl 1041.14018 Oort, Frans 39 2004 Families of \(p\)-divisible groups with constant Newton polygon. Zbl 1022.14013 Oort, Frans; Zink, Thomas 16 2002 A stratification of a moduli space of abelian varieties. Zbl 1052.14047 Oort, Frans 51 2001 Newton polygon strata in the moduli space of abelian varieties. Zbl 1086.14037 Oort, Frans 25 2001 Open problems in algebraic geometry. Zbl 1009.11002 Edixhoven, S. J.; Moonen, B. J. J.; Oort, F. 14 2001 Stable maps and Hurwitz schemes in mixed characteristics. Zbl 1040.14011 Abramovich, Dan; Oort, Frans 8 2001 A note on the existence of absolutely simple Jacobians. Zbl 1006.14006 Chai, Ching-Li; Oort, Frans 6 2001 Moduli of abelian varieties. Proceedings of the 3rd Texel conference, Texel Island, Netherlands, April 1999. Zbl 0958.00023 2 2001 Purity of the stratification by Newton polygons. Zbl 0954.14007 de Jong, A. J.; Oort, F. 33 2000 Stratifications of Hilbert modular varieties. Zbl 0973.14010 Goren, E. Z.; Oort, F. 30 2000 Newton polygons and formal groups: Conjectures by Manin and Grothendieck. Zbl 0991.14016 Oort, Frans 21 2000 Alterations and resolution of singularities. Zbl 0996.14007 Abramovich, Dan; Oort, Frans 11 2000 A compactification of a fine moduli space of curves. Zbl 1002.14006 van Geemen, Bert; Oort, Frans 4 2000 Resolution of singularities. A research textbook in tribute to Oscar Zariski. Based on the courses given at the working week in Obergurgl, Austria, September 7–14, 1997. Zbl 0932.00042 2 2000 A stratification of a moduli space of polarized abelian varieties in positive characteristic. Zbl 0974.14030 Oort, Frans 10 1999 Moduli of abelian varieties: a short introduction and survey. Zbl 0979.14022 van der Geer, Gerard; Oort, Frans 6 1999 Moduli of supersingular abelian varieties. Zbl 0920.14021 Li, Ke-Zheng; Oort, Frans 59 1998 Alterations can remove singularities. Zbl 0928.14012 Oort, Frans 1 1998 Canonical liftings and dense sets of CM-points. Zbl 0911.14018 Oort, Frans 21 1997 On extending families of curves. Zbl 0922.14017 de Jong, A. J.; Oort, F. 16 1997 The algebraic fundamental group. Zbl 0911.14006 Oort, Frans 1 1997 Abelian subvarieties. Zbl 0861.14037 Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G. 6 1996 Complex tori. Zbl 0879.14023 Oort, Frans; Zarhin, Yuri G. 2 1996 Complete subvarieties of moduli spaces. Zbl 0841.14008 Oort, Frans 5 1995 Endomorphism algebras of complex tori. Zbl 0858.14024 Oort, Frans; Zarhin, Yuri 5 1995 Rational curves in fibers. Zbl 0859.14004 Oort, Frans 1 1995 Moduli of abelian varieties in positive characteristic. Zbl 0839.14037 Oort, Frans 3 1994 “The” general case of S. Lang’s conjecture (after Faltings). Zbl 0811.14025 Oort, Frans 1 1993 CM-liftings of abelian varieties. Zbl 0803.14025 Oort, Frans 4 1992 Hyperelliptic supersingular curves. Zbl 0820.14018 Oort, Frans 11 1991 Moduli of abelian varieties and Newton polygons. Zbl 0734.14016 Oort, Frans 9 1991 Arithmetic algebraic geometry. Proceedings of the conference held on Texel Island, Netherlands, during the last week of April 1989. Zbl 0711.00011 1 1991 On the deformation of Artin-Schreier to Kummer. Zbl 0714.14024 Sekiguchi, Tsutomu; Oort, Frans; Suwa, Noriyuki 47 1989 Endomorphism algebras of abelian varieties. Zbl 0697.14029 Oort, F. 18 1988 A construction of an abelian variety with a given endomorphism algebra. Zbl 0656.14024 Oort, F.; van der Put, M. 1 1988 Poncelet’s closure theorem. Zbl 0633.51014 Bos, H. J. M.; Kers, C.; Oort, F.; Raven, D. W. 49 1987 Families of supersingular abelian surfaces. Zbl 0636.14017 Katsura, Toshiyuki; Oort, Frans 38 1987 Lifting algebraic curves, abelian varieties, and their endomorphisms to characteristic zero. Zbl 0645.14017 Oort, Frans 11 1987 Supersingular abelian varieties of dimension two or three and class numbers. Zbl 0656.14025 Katsura, Toshiyuki; Oort, Frans 5 1987 Supersingular curves of genus two and class numbers. Zbl 0589.14028 Ibukiyama, Tomoyoshi; Katsura, Toshiyuki; Oort, Frans 48 1986 The canonical lifting of an ordinary Jacobian variety need not be a Jacobian variety. Zbl 0605.14031 Oort, Frans; Sekiguchi, Tsutomu 5 1986 On the deformations of Witt groups to tori. Zbl 0800.14023 Sekiguchi, Tsutomu; Oort, F. 4 1986 Abelian varieties having purely additive reduction. Zbl 0557.14022 Lenstra, H. W. jun.; Oort, F. 15 1985 A Campedelli surface with torsiongroup Z/2. Zbl 0523.14025 Oort, F.; Peters, C. 8 1981 Moduli of abelian varieties. Zbl 0483.14010 Norman, Peter; Oort, Frans 40 1980 The local Torelli problem for algebraic curves. Zbl 0444.14007 Oort, Frans; Steenbrink, Joseph 30 1980 Singularities of coarse moduli schemes. Zbl 0349.14003 Oort, Frans 6 1977 Supersingular abelian varieties. Zbl 0402.14016 Oda, Tadao; Oort, Frans 5 1977 Which abelian surfaces are products of elliptic curves? Zbl 0283.14007 Oort, Frans 32 1975 Isogenies of formal groups. Zbl 0315.14016 Oort, Frans 2 1975 Singularities of the moduli scheme for curves of genus three. Zbl 0298.14016 Oort, Frans 1 1975 Subvarieties of moduli spaces. Zbl 0259.14011 Oort, Frans 33 1974 Simple abelian varieties having a prescribed formal isogeny type. Zbl 0279.14009 Lenstra, Hendrik W. jun.; Oort, Frans 13 1974 Good and stable reduction of Abelian varieties. Zbl 0266.14016 Oort, Frans 7 1974 Dieudonne modules of finite local group schemes. Zbl 0281.14019 Oort, Frans 5 1974 Hyperelliptic curves over number fields. Zbl 0299.14017 Oort, Frans 3 1974 Fine and coarse moduli schemes are different. Zbl 0317.14012 Oort, F. 3 1974 Principally polarized Abelian varieties of dimension two or three are Jacobian varieties. Zbl 0272.14008 Oort, Frans; Ueno, Kenji 33 1973 The isogeny class of a CM-type abelian variety is defined over a finite extension of the prime field. Zbl 0272.14009 Oort, Frans 13 1973 Lifting an endomorphism of an elliptic curve to characteristic zero. Zbl 0266.14014 Oort, Frans 3 1973 Finite group schemes, local moduli for abelian varieties, and lifting problems. Zbl 0239.14018 Oort, Frans 8 1972 Algebraic geometry, Oslo 1970. Proceedings of the 5th Nordic Summer- School in mathematics, Oslo, August 5-25, 1970. Zbl 0237.00014 4 1972 Group schemes of prime order. Zbl 0225.14024 Tate, John; Oort, Frans 1 1972 Finite group schemes, local moduli for abelian varieties, and lifting problems. Zbl 0223.14024 Oort, Frans 19 1971 Group schemes of prime order. Zbl 0195.50801 Tate, John; Oort, Frans 123 1970 Hensel’s lemma and rational points over local rings. Zbl 0193.35003 Oort, F. 1 1970 Deformations and liftings of finite, commutative group schemes. Zbl 0179.49901 Oort, F.; Mumford, D. 17 1968 Higher extensions of abelian varieties. Zbl 0161.18101 Oort, Frans; Oda, Tadao 5 1968 Representability of group functors, and automorphisms of algebraic schemes. Zbl 0173.22504 Matsumura, H.; Oort, F. 35 1967 The category of finite bialgebras over a field. Zbl 0166.01103 Oort, F.; Strooker, J. R. 2 1967 On the definition of an abelian category. Zbl 0145.02001 Oort, F. 1 1967 Commutative group schemes. Zbl 0216.05603 Oort, F. 82 1966 Algebraic group schemes in characteristic zero are reduced. Zbl 0173.49002 Oort, F. 14 1966 Yoneda extensions in Abelian categories. Zbl 0126.03401 Oort, F. 15 1964 Natural maps of extension functors. Zbl 0113.24706 Oort, F. 4 1963 A note on rationality of divisor classes on algebraic schemata (separable case). Zbl 0161.18102 Oort, Frans 1 1963 A construction of generalized Jacobian varieties by group extensions. Zbl 0101.38502 Oort, F. 12 1962 Sur le schéma de Picard. Zbl 0123.13901 Oort, Frans 11 1962 Reducible and multiple algebraic curves. Zbl 0102.15905 Oort, Frans 11 1961 all cited Publications top 5 cited Publications all top 5 Cited by 847 Authors 28 Yu, Chia-Fu 26 Oort, Frans 19 Zarkhin, Yuriĭ Gennad’evich 15 Pries, Rachel J. 11 Frediani, Paola 11 Katsura, Toshiyuki 10 Achter, Jeffrey D. 10 Harashita, Shushi 9 Brion, Michel 9 Goren, Eyal Z. 9 Görtz, Ulrich 9 Vasiu, Adrian 9 Viehmann, Eva 9 Zuo, Kang 8 Kannan, Senthamarai 7 Ghigi, Alessandro 7 Howe, Everett W. 7 Ibukiyama, Tomoyoshi 7 Lorenzini, Dino J. 7 Pilloni, Vincent 7 Schröer, Stefan 6 Andreatta, Fabrizio 6 Chai, Chingli 6 de Jong, Aise Johan 6 Koch, Alan 6 Lu, Xin 6 Mazur, Barry 6 Milne, James Stuart 6 Moonen, Ben 6 Ritzenthaler, Christophe 6 Sekiguchi, Tsutomu 6 Suwa, Noriyuki 6 van der Put, Marius 6 Zaytsev, Alexey 5 Breen, Lawrence S. 5 Byott, Nigel P. 5 Childs, Lindsay N. 5 Hamacher, Paul 5 He, Xuhua 5 Kassaei, Payman L. 5 Kudo, Momonari 5 Mirman, Boris 5 Nicole, Marc-Hubert 5 Nie, Sian 5 Rapoport, Michael 5 Shankar, Ananth N. 5 Tsimerman, Jacob 5 Van der Geer, Gerard 5 Wedhorn, Torsten 5 Xue, Jiangwei 4 Bouw, Irene I. 4 Cieślak, Waldemar 4 Emerton, Matthew 4 Karemaker, Valentijn 4 Krishnamoorthy, Raju 4 Lønsted, Knud 4 Maulik, Davesh 4 Mohajer, Abolfazl 4 Mozgawa, Witold 4 Saïdi, Mohamed Réda 4 Schneider, Hans-Jürgen 4 Silverberg, Alice 4 Tabachnikov, Serge L. 4 Tang, Yunqing 4 Tian, Yichao 4 Top, Jaap 4 Tossici, Dajano 4 Ulmer, Douglas L. 4 Wewers, Stefan 4 Xiao, Liang 4 Zhu, Hui June 3 Bleher, Frauke M. 3 Chen, Ke 3 Chinburg, Ted 3 Cornelissen, Gunther 3 de Shalit, Ehud 3 Del Centina, Andrea 3 Dolgachev, Igor’ Vladimirovich 3 Dragović, Vladimir 3 Efroymson, Gustave A. 3 Garcia, Ronaldo A. 3 Grosselli, Gian Paolo 3 Harbater, David 3 Harris, Michael Howard 3 Hartl, Urs T. 3 Kamienny, Sheldon 3 Kani, Ernst J. 3 Kedlaya, Kiran Sridhara 3 Koskivirta, Jean-Stefan 3 Kühne, Lars 3 Lau, Eike 3 Lauter, Kristin Estella 3 Li, Kezheng 3 Liedtke, Christian 3 Mantovan, Elena 3 Mézard, Ariane 3 Momose, Fumiyuki 3 Nart, Enric 3 Norman, Peter 3 Obus, Andrew ...and 747 more Authors all top 5 Cited in 171 Serials 67 Compositio Mathematica 45 Journal of Algebra 36 Inventiones Mathematicae 36 Journal of Number Theory 35 Mathematische Annalen 34 Duke Mathematical Journal 31 Transactions of the American Mathematical Society 29 Journal of Pure and Applied Algebra 28 Mathematische Zeitschrift 24 Manuscripta Mathematica 23 Annales de l’Institut Fourier 20 Advances in Mathematics 19 Journal of Algebraic Geometry 18 Annals of Mathematics. Second Series 16 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 16 Journal de Théorie des Nombres de Bordeaux 14 Journal für die Reine und Angewandte Mathematik 13 Proceedings of the American Mathematical Society 12 Algebra & Number Theory 11 Israel Journal of Mathematics 11 Research in Number Theory 10 Journal of the American Mathematical Society 10 Finite Fields and their Applications 9 Communications in Algebra 8 Bulletin de la Société Mathématique de France 8 Documenta Mathematica 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 International Journal of Number Theory 7 Geometriae Dedicata 7 Mathematische Nachrichten 7 Michigan Mathematical Journal 7 Bulletin of the American Mathematical Society. New Series 7 Journal of the Institute of Mathematics of Jussieu 7 Forum of Mathematics, Sigma 6 Nagoya Mathematical Journal 6 Rendiconti del Seminario Matematico della Università di Padova 6 Tôhoku Mathematical Journal. Second Series 6 Linear Algebra and its Applications 6 Transformation Groups 5 Rocky Mountain Journal of Mathematics 5 Mathematics of Computation 5 Publications Mathématiques 5 Communications in Contemporary Mathematics 5 European Journal of Mathematics 4 Beiträge zur Algebra und Geometrie 4 Journal of the Mathematical Society of Japan 4 Tokyo Journal of Mathematics 4 Science China. Mathematics 3 Archive for History of Exact Sciences 3 Acta Arithmetica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of the London Mathematical Society. Second Series 3 Journal of Soviet Mathematics 3 Kodai Mathematical Journal 3 Memoirs of the American Mathematical Society 3 Journal of Cryptology 3 Historia Mathematica 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Selecta Mathematica. New Series 3 Bulletin des Sciences Mathématiques 3 Taiwanese Journal of Mathematics 3 Proceedings of the Steklov Institute of Mathematics 3 Kyoto Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 The Mathematical Intelligencer 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Collectanea Mathematica 2 Functiones et Approximatio. Commentarii Mathematici 2 Indiana University Mathematics Journal 2 Osaka Journal of Mathematics 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Acta Mathematica Hungarica 2 Computer Aided Geometric Design 2 Journal of Symbolic Computation 2 Revista Matemática Iberoamericana 2 Forum Mathematicum 2 Journal of the Ramanujan Mathematical Society 2 International Journal of Mathematics 2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 2 Designs, Codes and Cryptography 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Experimental Mathematics 2 St. Petersburg Mathematical Journal 2 Geometry & Topology 2 Journal of the European Mathematical Society (JEMS) 2 Acta Mathematica Sinica. English Series 2 Algebraic & Geometric Topology 2 Bulletin of the American Mathematical Society 2 Advances in Mathematics of Communications 2 East Asian Mathematical Journal 2 Forum of Mathematics, Pi 2 Research in the Mathematical Sciences 2 Arnold Mathematical Journal ...and 71 more Serials all top 5 Cited in 39 Fields 754 Algebraic geometry (14-XX) 425 Number theory (11-XX) 60 Group theory and generalizations (20-XX) 45 Associative rings and algebras (16-XX) 44 Commutative algebra (13-XX) 33 Field theory and polynomials (12-XX) 31 Several complex variables and analytic spaces (32-XX) 31 Geometry (51-XX) 27 Category theory; homological algebra (18-XX) 16 Dynamical systems and ergodic theory (37-XX) 13 History and biography (01-XX) 13 Topological groups, Lie groups (22-XX) 12 Differential geometry (53-XX) 12 Information and communication theory, circuits (94-XX) 8 Mathematical logic and foundations (03-XX) 7 Functions of a complex variable (30-XX) 7 Algebraic topology (55-XX) 6 Combinatorics (05-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 \(K\)-theory (19-XX) 6 Manifolds and cell complexes (57-XX) 4 Nonassociative rings and algebras (17-XX) 4 Convex and discrete geometry (52-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Computer science (68-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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