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: 134 Publications since 1961, including 6 Books and 1 Additional arXiv Preprint 11 Contributions as Editor · 2 Further Contributions Reviewing Activity: 14 Reviews Biographic References: 1 Publication Co-Authors: 54 Co-Authors with 62 Joint Publications 1,922 Co-Co-Authors all top 5 Co-Authors 83 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 17 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 114 Algebraic geometry (14-XX) 38 Number theory (11-XX) 26 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 105 Publications have been cited 1,580 times in 1,023 Documents Cited by ▼ Year ▼ Group schemes of prime order. Zbl 0195.50801 Tate, John; Oort, Frans 128 1970 Commutative group schemes. Zbl 0216.05603 Oort, F. 87 1966 Moduli of supersingular abelian varieties. Zbl 0920.14021 Li, Ke-Zheng; Oort, Frans 64 1998 Poncelet’s closure theorem. Zbl 0633.51014 Bos, H. J. M.; Kers, C.; Oort, F.; Raven, D. W. 55 1987 A stratification of a moduli space of abelian varieties. Zbl 1052.14047 Oort, Frans 54 2001 Supersingular curves of genus two and class numbers. Zbl 0589.14028 Ibukiyama, Tomoyoshi; Katsura, Toshiyuki; Oort, Frans 51 1986 On the deformation of Artin-Schreier to Kummer. Zbl 0714.14024 Sekiguchi, Tsutomu; Oort, Frans; Suwa, Noriyuki 47 1989 The local Torelli problem for algebraic curves. Zbl 0444.14007 Oort, Frans; Steenbrink, Joseph 46 1980 The Torelli locus and special subvarieties. Zbl 1322.14065 Moonen, Ben; Oort, Frans 43 2013 Representability of group functors, and automorphisms of algebraic schemes. Zbl 0173.22504 Matsumura, H.; Oort, F. 43 1967 Foliations in moduli spaces of abelian varieties. Zbl 1041.14018 Oort, Frans 41 2004 Moduli of abelian varieties. Zbl 0483.14010 Norman, Peter; Oort, Frans 40 1980 Families of supersingular abelian surfaces. Zbl 0636.14017 Katsura, Toshiyuki; Oort, Frans 38 1987 Purity of the stratification by Newton polygons. Zbl 0954.14007 de Jong, A. J.; Oort, F. 36 2000 Subvarieties of moduli spaces. Zbl 0259.14011 Oort, Frans 35 1974 Complex multiplication and lifting problems. Zbl 1298.14001 Chai, Ching-Li; Conrad, Brian; Oort, Frans 33 2014 Stratifications of Hilbert modular varieties. Zbl 0973.14010 Goren, E. Z.; Oort, F. 33 2000 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 Endomorphism algebras of abelian varieties. Zbl 0697.14029 Oort, F. 26 1988 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 25 2005 Canonical liftings and dense sets of CM-points. Zbl 0911.14018 Oort, Frans 22 1997 Newton polygons and formal groups: Conjectures by Manin and Grothendieck. Zbl 0991.14016 Oort, Frans 21 2000 Finite group schemes, local moduli for abelian varieties, and lifting problems. Zbl 0223.14024 Oort, Frans 20 1971 On extending families of curves. Zbl 0922.14017 de Jong, A. J.; Oort, F. 17 1997 Families of \(p\)-divisible groups with constant Newton polygon. Zbl 1022.14013 Oort, Frans; Zink, Thomas 17 2002 Deformations and liftings of finite, commutative group schemes. Zbl 0179.49901 Oort, F.; Mumford, D. 17 1968 Yoneda extensions in Abelian categories. Zbl 0126.03401 Oort, F. 16 1964 Abelian varieties having purely additive reduction. Zbl 0557.14022 Lenstra, H. W. jun.; Oort, F. 15 1985 Lifting algebraic curves, abelian varieties, and their endomorphisms to characteristic zero. Zbl 0645.14017 Oort, Frans 14 1987 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 Monodromy and irreducibility of leaves. Zbl 1228.14021 Chai, Ching-Li; Oort, Frans 13 2011 Hyperelliptic supersingular curves. Zbl 0820.14018 Oort, Frans 13 1991 Simple abelian varieties having a prescribed formal isogeny type. Zbl 0279.14009 Lenstra, Hendrik W. jun.; Oort, Frans 13 1974 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 A construction of generalized Jacobian varieties by group extensions. Zbl 0101.38502 Oort, F. 13 1962 Abelian varieties isogenous to a Jacobian. Zbl 1263.14032 Chai, Ching-Li; Oort, Frans 13 2012 Sur le schéma de Picard. Zbl 0123.13901 Oort, Frans 12 1962 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 Problems from the Workshop on Automorphisms of Curves. Zbl 1167.14312 11 2005 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 10 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. 9 1981 Stable maps and Hurwitz schemes in mixed characteristics. Zbl 1040.14011 Abramovich, Dan; Oort, Frans 9 2001 Finite group schemes, local moduli for abelian varieties, and lifting problems. Zbl 0239.14018 Oort, Frans 9 1972 Hypersymmetric Abelian varieties. Zbl 1156.14320 Chai, Ching-Li; Oort, Frans 9 2006 Good and stable reduction of Abelian varieties. Zbl 0266.14016 Oort, Frans 8 1974 Simple \(p\)-kernels of \(p\)-divisible groups. Zbl 1093.14064 Oort, Frans 8 2005 Supersingular abelian varieties of dimension two or three and class numbers. Zbl 0656.14025 Katsura, Toshiyuki; Oort, Frans 7 1987 Abelian subvarieties. Zbl 0861.14037 Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G. 7 1996 Singularities of coarse moduli schemes. Zbl 0349.14003 Oort, Frans 6 1977 Moduli of abelian varieties: a short introduction and survey. Zbl 0979.14022 van der Geer, Gerard; Oort, Frans 6 1999 The canonical lifting of an ordinary Jacobian variety need not be a Jacobian variety. Zbl 0605.14031 Oort, Frans; Sekiguchi, Tsutomu 5 1986 Some questions in algebraic geometry. Zbl 1428.14004 Oort, Frans 5 2019 Foliations in moduli spaces of abelian varieties and dimension of leaves. Zbl 1247.14047 Oort, Frans 5 2009 Supersingular abelian varieties. Zbl 0402.14016 Oda, Tadao; Oort, Frans 5 1977 Higher extensions of abelian varieties. Zbl 0161.18101 Oort, Frans; Oda, Tadao 5 1968 A note on the existence of absolutely simple Jacobians. Zbl 1006.14006 Chai, Ching-Li; Oort, Frans 5 2001 Moduli of abelian varieties in mixed and in positive characteristic. Zbl 1322.14066 Oort, Frans 5 2013 Dieudonne modules of finite local group schemes. Zbl 0281.14019 Oort, Frans 5 1974 Algebraic geometry, Oslo 1970. Proceedings of the 5th Nordic Summer- School in mathematics, Oslo, August 5-25, 1970. Zbl 0237.00014 5 1972 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 A compactification of a fine moduli space of curves. Zbl 1002.14006 van Geemen, Bert; Oort, Frans 4 2000 The Hecke orbit conjecture: a survey and outlook. Zbl 1427.14091 Chai, Ching-Li; Oort, Frans 4 2019 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 Riemann-Hurwitz formula. Zbl 1354.14044 Oort, Frans 4 2016 The Weil conjectures. Zbl 1358.01047 Oort, Frans 4 2014 Hyperelliptic curves over number fields. Zbl 0299.14017 Oort, Frans 4 1974 Natural maps of extension functors. Zbl 0113.24706 Oort, F. 4 1963 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 3 2000 Moduli of abelian varieties in positive characteristic. Zbl 0839.14037 Oort, Frans 3 1994 Moduli of abelian varieties. Proceedings of the 3rd Texel conference, Texel Island, Netherlands, April 1999. Zbl 0958.00023 3 2001 Lifting an endomorphism of an elliptic curve to characteristic zero. Zbl 0266.14014 Oort, Frans 3 1973 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 Grothendieck: the new algebraic geometry. Zbl 1182.01012 Oort, Frans 3 2009 The category of finite bialgebras over a field. Zbl 0166.01103 Oort, F.; Strooker, J. R. 3 1967 Complex tori. Zbl 0879.14023 Oort, Frans; Zarhin, Yuri G. 2 1996 Arithmetic algebraic geometry. Proceedings of the conference held on Texel Island, Netherlands, during the last week of April 1989. Zbl 0711.00011 2 1991 Singularities of the moduli scheme for curves of genus three. Zbl 0298.14016 Oort, Frans 2 1975 Isogenies of formal groups. Zbl 0315.14016 Oort, Frans 2 1975 The algebraic fundamental group. Zbl 0911.14006 Oort, Frans 2 1997 A construction of an abelian variety with a given endomorphism algebra. Zbl 0656.14024 Oort, F.; van der Put, M. 1 1988 Coarse and fine moduli spaces of algebraic curves and polarized abelian varieties. Zbl 0461.14002 Oort, Frans 1 1981 Power values of divisor sums. Zbl 1271.11088 Beukers, Frits; Luca, Florian; Oort, Frans 1 2012 Book review of: David Mumford, Selected papers, Volume II. Zbl 1284.00023 Oort, Frans 1 2013 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 Sustained \(p\)-divisible groups: a foliation retraced. Zbl 1427.14094 Chai, Ching-Li; Oort, Frans 1 2019 Rational curves in fibers. Zbl 0859.14004 Oort, Frans 1 1995 “The” general case of S. Lang’s conjecture (after Faltings). Zbl 0811.14025 Oort, Frans 1 1993 The legacy of Bernhard Riemann after one hundred and fifty years. Volume II. Zbl 1343.01007 1 2016 A note on rationality of divisor classes on algebraic schemata (separable case). Zbl 0161.18102 Oort, Frans 1 1963 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 5 2019 The Hecke orbit conjecture: a survey and outlook. Zbl 1427.14091 Chai, Ching-Li; Oort, Frans 4 2019 Sustained \(p\)-divisible groups: a foliation retraced. Zbl 1427.14094 Chai, Ching-Li; Oort, Frans 1 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 An algebraic construction of an abelian variety with a given Weil number. Zbl 1336.14029 Chai, Ching-Li; Oort, Frans 1 2015 Complex multiplication and lifting problems. Zbl 1298.14001 Chai, Ching-Li; Conrad, Brian; Oort, Frans 33 2014 The Weil conjectures. Zbl 1358.01047 Oort, Frans 4 2014 The Torelli locus and special subvarieties. Zbl 1322.14065 Moonen, Ben; Oort, Frans 43 2013 Moduli of abelian varieties in mixed and in positive characteristic. Zbl 1322.14066 Oort, Frans 5 2013 Book review of: David Mumford, Selected papers, Volume II. Zbl 1284.00023 Oort, Frans 1 2013 Abelian varieties isogenous to a Jacobian. Zbl 1263.14032 Chai, Ching-Li; Oort, Frans 13 2012 Power values of divisor sums. Zbl 1271.11088 Beukers, Frits; Luca, Florian; Oort, Frans 1 2012 Monodromy and irreducibility of leaves. Zbl 1228.14021 Chai, Ching-Li; Oort, Frans 13 2011 Moduli of abelian varieties and \(p\)-divisible groups. Zbl 1188.14028 Chai, Ching-Li; Oort, Frans 10 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 9 2006 Minimal \(p\)-divisible groups. Zbl 1081.14065 Oort, Frans 25 2005 Problems from the Workshop on Automorphisms of Curves. Zbl 1167.14312 11 2005 Simple \(p\)-kernels of \(p\)-divisible groups. Zbl 1093.14064 Oort, Frans 8 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 41 2004 Families of \(p\)-divisible groups with constant Newton polygon. Zbl 1022.14013 Oort, Frans; Zink, Thomas 17 2002 A stratification of a moduli space of abelian varieties. Zbl 1052.14047 Oort, Frans 54 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 9 2001 A note on the existence of absolutely simple Jacobians. Zbl 1006.14006 Chai, Ching-Li; Oort, Frans 5 2001 Moduli of abelian varieties. Proceedings of the 3rd Texel conference, Texel Island, Netherlands, April 1999. Zbl 0958.00023 3 2001 Purity of the stratification by Newton polygons. Zbl 0954.14007 de Jong, A. J.; Oort, F. 36 2000 Stratifications of Hilbert modular varieties. Zbl 0973.14010 Goren, E. Z.; Oort, F. 33 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 3 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 64 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 22 1997 On extending families of curves. Zbl 0922.14017 de Jong, A. J.; Oort, F. 17 1997 The algebraic fundamental group. Zbl 0911.14006 Oort, Frans 2 1997 Abelian subvarieties. Zbl 0861.14037 Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G. 7 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 13 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 2 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. 26 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. 55 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 14 1987 Supersingular abelian varieties of dimension two or three and class numbers. Zbl 0656.14025 Katsura, Toshiyuki; Oort, Frans 7 1987 Supersingular curves of genus two and class numbers. Zbl 0589.14028 Ibukiyama, Tomoyoshi; Katsura, Toshiyuki; Oort, Frans 51 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. 9 1981 Coarse and fine moduli spaces of algebraic curves and polarized abelian varieties. Zbl 0461.14002 Oort, Frans 1 1981 The local Torelli problem for algebraic curves. Zbl 0444.14007 Oort, Frans; Steenbrink, Joseph 46 1980 Moduli of abelian varieties. Zbl 0483.14010 Norman, Peter; Oort, Frans 40 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 Singularities of the moduli scheme for curves of genus three. Zbl 0298.14016 Oort, Frans 2 1975 Isogenies of formal groups. Zbl 0315.14016 Oort, Frans 2 1975 Subvarieties of moduli spaces. Zbl 0259.14011 Oort, Frans 35 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 8 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 4 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 9 1972 Algebraic geometry, Oslo 1970. Proceedings of the 5th Nordic Summer- School in mathematics, Oslo, August 5-25, 1970. Zbl 0237.00014 5 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 20 1971 Group schemes of prime order. Zbl 0195.50801 Tate, John; Oort, Frans 128 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. 43 1967 The category of finite bialgebras over a field. Zbl 0166.01103 Oort, F.; Strooker, J. R. 3 1967 On the definition of an abelian category. Zbl 0145.02001 Oort, F. 1 1967 Commutative group schemes. Zbl 0216.05603 Oort, F. 87 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. 16 1964 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 922 Authors 28 Yu, Chia-Fu 26 Oort, Frans 20 Zarkhin, Yuriĭ Gennad’evich 15 Pries, Rachel J. 13 Frediani, Paola 11 Brion, Michel 11 Katsura, Toshiyuki 10 Achter, Jeffrey D. 10 Goren, Eyal Z. 10 Harashita, Shushi 9 Görtz, Ulrich 9 Vasiu, Adrian 9 Viehmann, Eva 9 Zuo, Kang 8 Ghigi, Alessandro 8 Kannan, Senthamarai 8 Schröer, Stefan 7 Chai, Chingli 7 Howe, Everett W. 7 Ibukiyama, Tomoyoshi 7 Lorenzini, Dino J. 7 Pilloni, Vincent 6 Andreatta, Fabrizio 6 Bleher, Frauke M. 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 Shankar, Ananth N. 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 Kedlaya, Kiran Sridhara 5 Kudo, Momonari 5 Mirman, Boris 5 Nicole, Marc-Hubert 5 Nie, Sian 5 Rapoport, Michael 5 Tsimerman, Jacob 5 Van der Geer, Gerard 5 Wedhorn, Torsten 5 Xue, Jiangwei 4 Bouw, Irene I. 4 Cieślak, Waldemar 4 de Shalit, Ehud 4 Emerton, Matthew 4 Karemaker, Valentijn 4 Krishnamoorthy, Raju 4 Lønsted, Knud 4 Maulik, Davesh 4 Mozgawa, Witold 4 Pirola, Gian Pietro 4 Reyes-Carocca, Sebastián 4 Saha, Pinakinath 4 Saïdi, Mohamed Réda 4 Schneider, Hans-Jürgen 4 Silverberg, Alice 4 Smith, Benjamin Andrew 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 4 Zucconi, Francesco 3 Biswas, Indranil 3 Casalaina-Martin, Sebastian 3 Chen, Ke 3 Chinburg, Ted 3 Colombo, Elisabetta 3 Cornelissen, Gunther 3 Del Centina, Andrea 3 Dolgachev, Igor’ Vladimirovich 3 Dragović, Vladimir 3 Efroymson, Gustave A. 3 Gao, Ziyang 3 Garcia, Ronaldo A. 3 Grosselli, Gian Paolo 3 Habegger, Philipp 3 Harbater, David 3 Harris, Michael Howard 3 Hartl, Urs T. 3 Kamienny, Sheldon 3 Kani, Ernst J. 3 Koskivirta, Jean-Stefan 3 Kühne, Lars 3 Landesman, Aaron ...and 822 more Authors all top 5 Cited in 180 Serials 68 Compositio Mathematica 49 Journal of Algebra 40 Journal of Number Theory 37 Mathematische Annalen 36 Inventiones Mathematicae 34 Duke Mathematical Journal 31 Transactions of the American Mathematical Society 30 Mathematische Zeitschrift 29 Journal of Pure and Applied Algebra 25 Manuscripta Mathematica 24 Annales de l’Institut Fourier 20 Advances in Mathematics 20 Journal of Algebraic Geometry 20 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 14 Proceedings of the American Mathematical Society 14 Finite Fields and their Applications 14 Algebra & Number Theory 12 Israel Journal of Mathematics 11 Mathematische Nachrichten 11 Research in Number Theory 10 Communications in Algebra 10 Journal of the American Mathematical Society 9 Nagoya Mathematical Journal 9 International Journal of Number Theory 8 Bulletin de la Société Mathématique de France 8 Rendiconti del Seminario Matematico della Università di Padova 8 Documenta Mathematica 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Geometriae Dedicata 7 Michigan Mathematical Journal 7 Bulletin of the American Mathematical Society. New Series 7 Transformation Groups 7 Journal of the Institute of Mathematics of Jussieu 7 Forum of Mathematics, Sigma 6 Mathematics of Computation 6 Tôhoku Mathematical Journal. Second Series 6 Linear Algebra and its Applications 5 Rocky Mountain Journal of Mathematics 5 Beiträge zur Algebra und Geometrie 5 Publications Mathématiques 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Communications in Contemporary Mathematics 5 European Journal of Mathematics 4 Archive for History of Exact Sciences 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Bulletin of the London Mathematical Society 4 Journal of the Mathematical Society of Japan 4 Memoirs of the American Mathematical Society 4 Pacific Journal of Mathematics 4 Tokyo Journal of Mathematics 4 Historia Mathematica 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Indagationes Mathematicae. New Series 4 Taiwanese Journal of Mathematics 4 Science China. Mathematics 3 The Mathematical Intelligencer 3 Acta Arithmetica 3 Journal of the London Mathematical Society. Second Series 3 Journal of Soviet Mathematics 3 Kodai Mathematical Journal 3 Proceedings of the London Mathematical Society. Third Series 3 Journal of Cryptology 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Selecta Mathematica. New Series 3 Bulletin des Sciences Mathématiques 3 Representation Theory 3 Algebraic & Geometric Topology 3 Proceedings of the Steklov Institute of Mathematics 3 Kyoto Journal of Mathematics 3 Arnold Mathematical Journal 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Geometry and Physics 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Collectanea Mathematica 2 Functiones et Approximatio. Commentarii Mathematici 2 Indiana University Mathematics Journal 2 Journal of Differential Geometry 2 Osaka Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 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 Experimental Mathematics 2 St. Petersburg Mathematical Journal 2 Geometry & Topology 2 Algebras and Representation Theory 2 Journal of the European Mathematical Society (JEMS) ...and 80 more Serials all top 5 Cited in 38 Fields 818 Algebraic geometry (14-XX) 453 Number theory (11-XX) 67 Group theory and generalizations (20-XX) 50 Associative rings and algebras (16-XX) 47 Commutative algebra (13-XX) 37 Several complex variables and analytic spaces (32-XX) 35 Geometry (51-XX) 34 Field theory and polynomials (12-XX) 29 Category theory; homological algebra (18-XX) 17 History and biography (01-XX) 17 Dynamical systems and ergodic theory (37-XX) 15 Information and communication theory, circuits (94-XX) 13 Topological groups, Lie groups (22-XX) 13 Differential geometry (53-XX) 10 Mathematical logic and foundations (03-XX) 8 Functions of a complex variable (30-XX) 8 Manifolds and cell complexes (57-XX) 7 General and overarching topics; collections (00-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 \(K\)-theory (19-XX) 7 Algebraic topology (55-XX) 6 Combinatorics (05-XX) 6 Quantum theory (81-XX) 5 Convex and discrete geometry (52-XX) 4 Nonassociative rings and algebras (17-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 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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