Publicaties
2021
Wetenschappelijke publicaties
Oort, F. (2021). A method in deformation theory. Pure and Applied Mathematics Quarterly, 17(2), 703-716. https://doi.org/10.4310/PAMQ.2021.v17.n2.a6
2020
Wetenschappelijke publicaties
Oort, F. (2020). Finite Group Schemes and $p$-Divisible Groups. Notices of the International Congress of Chinese Mathematicians, 8(1), 55-78. https://doi.org/10.4310/iccm.2020.v8.n1.a5
Yu, C. F., Chai, C. L., & Oort, F. (2020). Stratifying lie strata of hilbert modular varieties. Taiwanese Journal of Mathematics, 24(6), 1307-1352. https://doi.org/10.11650/tjm/200305
2019
Wetenschappelijke publicaties
Oort, F. (2019). Open problems in Arithmetic Algebraic Geometry. (Advanced Lectures in Mathematics; Vol. 46). International Press of Boston.
2017
Wetenschappelijke publicaties
Chai, C-L., & Oort, F. (2017). Life and work of Alexander Grothendieck. Notices of the International Congress of Chinese Mathematicians, 5(1), 22-50. https://doi.org/10.4310/ICCM.2017.v5.n1.a2
2016
Wetenschappelijke publicaties
Oort, F. (2016). Gauss: The Last Entry. Notices of the International Congress of Chinese Mathematicians, 4(1), 29-39. https://doi.org/10.4310/ICCM.2016.v4.n1.a4
Oort, F., & Schappacher, N. (2016). Early history of the Riemann Hypothesis in positive characteristic. In L. Ji, F. Oort, & S-T. Yau (Eds.), The Legacy of Bernhard Riemann After One Hundred and Fifty Years (Vol. II, pp. 595-632). ( Advanced Lectures in Mathematics ; Vol. 35.2). Higher Education Press and International Press.
Oort, F. (2016). The Riemann-Hurwitz formula. In The Legacy of Bernhard Riemann After One Hundred and Fifty Years (Vol. II, pp. 567-594). (Advanced Lectures in Mathematics; Vol. 35.2). Higher Education Press and International Press.
Oort, F., Ji, L., & Yau, S-T. (2016). The Legacy of Bernhard Riemann After One Hundred and Fifty Years. ( Advanced Lectures in Mathematics ; Vol. 35). Higher Education Press and International Press.
2015
Wetenschappelijke publicaties
Kruk, R., & Oort, F. (2015). Hajj murals in Dakhla Oasis (Egypt). In L. Mols, & M. Buitelaar (Eds.), Hajj, global interactions through pilgrimage (pp. 163-184). (Mededelingen van het Rijksmuseum voor Volkenkunde No . 43).
https://dspace.library.uu.nl/bitstream/handle/1874/354832/KrukOort2015_Hajj_MuralsDakhla.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/354832/KrukOort2015_Hajj_MuralsDakhla.pdf?sequence=1
Chai, C-L., & Oort, F. (2015). An algebraic construction of an abelian variety with a given Weil number. Algebraic Geometry, 2, 654-663. https://doi.org/10.14231/AG-2015-028
https://dspace.library.uu.nl/bitstream/handle/1874/334164/10.14231AG_2015_028.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/334164/10.14231AG_2015_028.pdf?sequence=1
2014
Wetenschappelijke publicaties
Oort, F. (2014). The Weil conjectures. Nieuw archief voor wiskunde. Serie 5, 15(3), 211-219. http://www.nieuwarchief.nl/serie5/pdf/naw5-2014-15-3-211.pdf
Oort, F. (2014). Did earlier thoughts inspire Grothendieck? In L. Schneps (Ed.), Alexandre Grothendieck: a mathematical portrait (pp. 231-268). International Press of Boston.
2009
Wetenschappelijke publicaties
Oort, F., & Chai, C-L. (2009). Moduli of abelian varieties and p-divisible groups. In H. Darmon, D. Ellwood, B. Hassett, & Y. Tschinkel (Eds.), Arithmetic geometry, Clay Mathematics Institute Summer School, Goettingen 2006 (Vol. 8)
2005
Wetenschappelijke publicaties
Oort, F. (2005). Abelian varieties isogenous to a Jacobian. Rendiconti del Seminario Matematico della Università di Padova, 113, 165-172.
Oort, F. (2005). Newton polygons and p-divisible groups: A conjecture by Grothendieck. Asterisque, (298), 255-269.
Cornelissen, G., & Oort, F. (2005). Automorphisms of curves. Rendiconti del Seminario Matematico della Università di Padova, 113, 129-+.
2004
Wetenschappelijke publicaties
Bouw, I., Chinburg, T., Cornelissen, G., Gasbarri, C., Glass, D., Lehr, C., Matignon, M., Oort, F., Pries, R., & Wewers, S. (2004). Problems from the workshop on "Automorphisms of Curves" (Leiden, August, 2004). Rendiconti del Seminario Matematico della Università di Padova, 113, 129 – 177. http://adsabs.harvard.edu/abs/2004math.....11059B
1995
Wetenschappelijke publicaties
OORT, F., & ZARHIN, Y. (1995). Endomorphism Algebras of Complex Tori. Mathematische Annalen, 303(1), 11-29. https://doi.org/10.1007/BF01460976
1991
Wetenschappelijke publicaties
OORT, F. (1991). Moduli of Abelian-varieties and Newton Polygons. Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 312(5), 385-389.
1989
Wetenschappelijke publicaties
SEKIGUCHI, T., OORT, F., & SUWA, N. (1989). On the Deformation of Artin-schreier to Kummer. Annales Scientifiques de l'Ecole Normale Superieure, 22(3), 345-375.
1988
Wetenschappelijke publicaties
OORT, F., & VANDERPUT, M. (1988). A Construction of an Abelian Variety with a Given Endomorphism Algebra. Compositio Mathematica, 67(1), 103-120.
1987
Wetenschappelijke publicaties
KATSURA, T., & OORT, F. (1987). Families of Supersingular Abelian Surfaces. Compositio Mathematica, 62(2), 107-167.
OORT, F. (1987). Lifting Algebraic-curves, Abelian-varieties, and Their Endomorphisms to Characteristic Zero. Proceedings of symposia in pure mathematics, 46, 165-195.
1986
Wetenschappelijke publicaties
OORT, F., & SEKIGUCHI, T. (1986). The Canonical Lifting of an Ordinary Jacobian Variety Need Not Be a Jacobian Variety. Journal of the Mathematical Society of Japan, 38(3), 427-437. https://doi.org/10.2969/jmsj/03830427
IBUKIYAMA, T., KATSURA, T., & OORT, F. (1986). Supersingular Curves of Genus 2 and Class-numbers. Compositio Mathematica, 57(2), 127-152.
1985
Wetenschappelijke publicaties
LENSTRA, HW., & OORT, F. (1985). Abelian-varieties Having Purely Additive Reduction. Journal of Pure and Applied Algebra, 36(3), 281-298. https://doi.org/10.1016/0022-4049(85)90079-9
1981
Wetenschappelijke publicaties
OORT, F., & PETERS, C. (1981). A Campedelli Surface with Torsiongroup Z-2. Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A-mathematical Sciences, 84(4), 399-407.
1975
Wetenschappelijke publicaties
OORT, F. (1975). Singularities of Moduli Scheme for Curves of Genus-3. Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A-mathematical Sciences, 78(2), 170-174.
OORT, F. (1975). Isogenies of Formal Groups. Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A-mathematical Sciences, 78(5), 391-400.
OORT, F. (1975). Which Abelian Surfaces Are Products of Elliptic Curves. Mathematische Annalen, 214(1), 35-47. https://doi.org/10.1007/BF01428253
1974
Wetenschappelijke publicaties
OORT, F. (1974). Elliptic Curves - Diophantine Torsion Solutions and Singular J-invariants. Mathematische Annalen, 207(2), 139-162.
OORT, F. (1974). Dieudonne Modules of Finite Local Group Schemes. Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A-mathematical Sciences, 77(3), 284-292.
OORT, F. (1974). Good and Stable Reduction of Abelian Varieties. Manuscripta Mathematica, 11(2), 171-197. https://doi.org/10.1007/BF01184956
Oort, F. (1974). Subvarieties of Moduli Spaces. Inventiones Mathematicae, 24, 95–119. https://doi.org/10.1007/BF01404301
1973
Wetenschappelijke publicaties
OORT, F. (1973). Lifting an Endomorphism of an Elliptic Curve to Characteristic Zero. Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A-mathematical Sciences, 76(5), 466-470.
OORT, F., & UENO, K. (1973). Principally Polarized Abelian Varieties of Dimension 2 Or 3 Are Jacobian Varieties. Journal of the Faculty of Science University of Tokyo Section 1-mathematics Astronomy Physics Chemistry, 20(3), 377-381.
1971
Wetenschappelijke publicaties
OORT, F. (1971). Finite Group Schemes, Local Moduli for Abelian Varieties, and Lifting Problems. Compositio Mathematica, 23(3), 265-&.
1970
Wetenschappelijke publicaties
Oort, F. (1970). Hensel's lemma and rational points over local rings. Symposia Mathematica, 3, 217-232. http://adsabs.harvard.edu/abs/1970syma.book..217O
1968
Wetenschappelijke publicaties
OORT, F., & ODA, T. (1968). Higher Extensions of Abelian Varieties. Nagoya Mathematical Journal, 31(JAN), 81-&. https://doi.org/10.1017/S0027763000012666
Oort, F., & Mumford, D. (1968). Deformations and Liftings of Finite, Commutative Group Schemes. Inventiones Mathematicae, 5, 317. https://doi.org/10.1007/BF01389779
1967
Wetenschappelijke publicaties
OORT, F., & Strooker, JR. (1967). Category of Finite Bialgebras Over a Field. Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A-mathematical Sciences, 70(2), 161-&.
OORT, F. (1967). On Definition of an Abelian Category. Koninklijke Nederlandse Akademie Van Weteschappen-proceedings Series A-mathematical Sciences, 70(1), 83-&.
Matsumura, H., & Oort, F. (1967). Representability of Group Functors, and Automorphisms of Algebraic Schemes. Inventiones Mathematicae, 4, 1-25. https://doi.org/10.1007/BF01404578
1966
Wetenschappelijke publicaties
Oort, F. (1966). Algebraic Group Schemes in Characteristic Zero are Reduced. Inventiones Mathematicae, 2, 79. https://doi.org/10.1007/BF01403391
1964
Wetenschappelijke publicaties
OORT, F. (1964). Yoneda Extensions in Abelian Categories. Mathematische Annalen, 153(3), 227-235. https://doi.org/10.1007/BF01360318
1963
Wetenschappelijke publicaties
OORT, F. (1963). A Note on Rationality of Divisor Classes on Algebraic Schemata (separable Case). Mathematische Annalen, 149(1), 67-70. https://doi.org/10.1007/BF01343301
Oort, F., & Hilton, P. J. (1963). A note on natural maps of higher extension functors. Mathematical Proceedings of the Cambridge Philosophical Society, 59(02), 283. https://doi.org/10.1017/S0305004100036902
1962
Wetenschappelijke publicaties
OORT, F. (1962). A Construction of Generalized Jacobian Varieties By Group Extensions. Mathematische Annalen, 147(4), 277-286. https://doi.org/10.1007/BF01440949
1961
Wetenschappelijke publicaties
Oort, F. (1961). Reducible and multiple algebraic curves. [Doctoral thesis 2 (Research NOT UU / Graduation UU), Leiden University].