p-descent in characteristic p
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$p$-descent in characteristic $p$

Douglas L. Ulmer

Source: Duke Math. J. Volume 62, Number 2 (1991), 237-265.

First Page PDF: View first page of article (PDF, 124 KB)

Primary Subjects: 11G40
Secondary Subjects: 11G05, 11G18

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077296358
Mathematical Reviews number (MathSciNet): MR1104524
Zentralblatt MATH identifier: 0742.14028
Digital Object Identifier: doi:10.1215/S0012-7094-91-06210-1

References

[1] B. Gross, A tameness criterion for Galois representations associated to modular forms (mod $p$), Duke Math. J. 61 (1990), no. 2, 445–517.
Mathematical Reviews (MathSciNet): MR91i:11060
Zentralblatt MATH: 0743.11030
Digital Object Identifier: doi:10.1215/S0012-7094-90-06119-8
Project Euclid: euclid.dmj/1077296826
[2] N. Jochnowitz, A study of the local components of the Hecke algebra mod $l$, Trans. Amer. Math. Soc. 270 (1982), no. 1, 253–267.
Mathematical Reviews (MathSciNet): MR83e:10033a
Zentralblatt MATH: 0536.10021
Digital Object Identifier: doi:10.2307/1999771
[3] N. Katz, A result on modular forms in characteristic $p$, Modular functions of one variable, V (Proc. Second Internat. Conf., Univ. Bonn, Bonn, 1976) eds. J. P. Serreand and D. B. Zagier, Springer, Berlin, 1977, 53–61. Lecture Notes in Math., Vol. 601.
Mathematical Reviews (MathSciNet): MR57:3127
Zentralblatt MATH: 0392.10026
[4] N. Katz and B. Mazur, Arithmetic moduli of elliptic curves, Annals of Mathematics Studies, vol. 108, Princeton University Press, Princeton, NJ, 1985.
Mathematical Reviews (MathSciNet): MR86i:11024
Zentralblatt MATH: 0576.14026
[5] K. Kramer, Two-descent for elliptic curves in characteristic two, Trans. Amer. Math. Soc. 232 (1977), 279–295.
Mathematical Reviews (MathSciNet): MR56:366
Zentralblatt MATH: 0327.14007
Digital Object Identifier: doi:10.2307/1998941
[6] J. S. Milne, Étale cohomology, Princeton Mathematical Series, vol. 33, Princeton University Press, Princeton, N.J., 1980.
Mathematical Reviews (MathSciNet): MR81j:14002
Zentralblatt MATH: 0433.14012
[7] J. S. Milne, Arithmetic duality theorems, Perspectives in Mathematics, vol. 1, Academic Press Inc., Boston, MA, 1986.
Mathematical Reviews (MathSciNet): MR88e:14028
Zentralblatt MATH: 0613.14019
[8] D. Mumford, Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, No. 5, Published for the Tata Institute of Fundamental Research, Bombay, 1970.
Mathematical Reviews (MathSciNet): MR44:219
Zentralblatt MATH: 0223.14022
[9] T. Oda, The first de Rham cohomology group and Dieudonné modules, Ann. Sci. École Norm. Sup. (4) 2 (1969), 63–135.
Mathematical Reviews (MathSciNet): MR39:2775
Zentralblatt MATH: 0175.47901
[10] G. Robert, Congruences entre séries d'Eisenstein, dans le cas supersingulier, Invent. Math. 61 (1980), no. 2, 103–158.
Mathematical Reviews (MathSciNet): MR82c:10037
Zentralblatt MATH: 0442.10020
Digital Object Identifier: doi:10.1007/BF01390118
[11] J.-P. Serre, Groupes algébriques et corps de classes, Publications de l'institut de mathématique de l'université de Nancago, VII. Hermann, Paris, 1959.
Mathematical Reviews (MathSciNet): MR21:1973
Zentralblatt MATH: 0097.35604
[12] J.-P. Serre, Formes modulaires et fonctions zêta $p$-adiques, Modular functions of one variable, III (Proc. Internat. Summer School, Univ. Antwerp, 1972) eds. J.-P. Serre and W. Kuyk, Springer, Berlin, 1973, 191–268. Lecture Notes in Math., Vol. 350.
Mathematical Reviews (MathSciNet): MR53:7949a
Zentralblatt MATH: 0277.12014
Digital Object Identifier: doi:10.1007/BFb0060524
[13] J.-P. Serre, Formes modulaires $(\mod p)$, 1987-88, Cours au Collège de France.
[14] C. Seshadri, L'opération de Cartier, applications, Séminaire Chevalley 1958–59, Paris, 1960.
Zentralblatt MATH: 0121.38001
[15] J. Tate and F. Oort, Group schemes of prime order, Ann. Sci. École Norm. Sup. (4) 3 (1970), 1–21.
Mathematical Reviews (MathSciNet): MR42:278
Zentralblatt MATH: 0195.50801
[16] D. L. Ulmer, On universal elliptic curves over Igusa curves, Invent. Math. 99 (1990), no. 2, 377–391.
Mathematical Reviews (MathSciNet): MR90m:11092
Zentralblatt MATH: 0705.14024
Digital Object Identifier: doi:10.1007/BF01234424
[17] D. L. Ulmer, $L$-functions of universal elliptic curves over Igusa curves, Amer. J. Math. 112 (1990), no. 5, 687–712.
Mathematical Reviews (MathSciNet): MR91j:11050
Zentralblatt MATH: 0731.14013
Digital Object Identifier: doi:10.2307/2374803
JSTOR: links.jstor.org
[18] J. F. Voloch, Explicit $p$-descent for elliptic curves in characteristic $p$, Compositio Math. 74 (1990), no. 3, 247–258.
Mathematical Reviews (MathSciNet): MR91f:11042
Zentralblatt MATH: 0715.14027
[19] E. Witt, Zyklische Körper und Algebren der Charakteristik $p$ vom Grade $p^n$, J. Reine Angew. Math. 176 (1936), 126–140.
Zentralblatt MATH: 0016.05101
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