Universal extensions and p -adic periods of elliptic curves

Richard Crew

Compositio Mathematica (1990)

  • Volume: 73, Issue: 1, page 107-119
  • ISSN: 0010-437X

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Crew, Richard. "Universal extensions and $p$-adic periods of elliptic curves." Compositio Mathematica 73.1 (1990): 107-119. <http://eudml.org/doc/89994>.

@article{Crew1990,
author = {Crew, Richard},
journal = {Compositio Mathematica},
keywords = {étale cohomology; crystalline cohomology; period map; Tate-module of a -divisible group; differentials; elliptic curves},
language = {eng},
number = {1},
pages = {107-119},
publisher = {Kluwer Academic Publishers},
title = {Universal extensions and $p$-adic periods of elliptic curves},
url = {http://eudml.org/doc/89994},
volume = {73},
year = {1990},
}

TY - JOUR
AU - Crew, Richard
TI - Universal extensions and $p$-adic periods of elliptic curves
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 73
IS - 1
SP - 107
EP - 119
LA - eng
KW - étale cohomology; crystalline cohomology; period map; Tate-module of a -divisible group; differentials; elliptic curves
UR - http://eudml.org/doc/89994
ER -

References

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  1. [1] Coleman, R., Hodge-Tate periods and p-adic abelian integrals, Inv. Math.78 (1984) pp. 351-379. Zbl0572.14024MR768985
  2. [2] de Shalit, E., Iwasawa theory of elliptic curves with complex multiplication, Academic Press1987. Zbl0674.12004MR917944
  3. [3] Hartshorne, R., Residues and Duality, Lecture Notes in Math. 20, Springer-Verlag1966. Zbl0212.26101MR222093
  4. [4] Katz, N., The Eisenstein measure and p-adic interpolation, Amer. J. Math.99 (1977) pp. 238-311. Zbl0375.12022MR485797
  5. [5] Messing W., The crystals associated to Barsotti-Tate groups: with applications to abelian schemes, Lecture Notes in Math. 264, Springer-Verlag1972. Zbl0243.14013MR347836
  6. [6] Mazur, B., and Messing W., Universal extensions and one-dimensinal crystalline cohomology, Lecture Notes in Math. 370, Springer-Verlag1974. Zbl0301.14016MR374150
  7. [7] Mumford, D., Abelian Varieties, Oxford1970. Zbl0223.14022MR282985
  8. [8] Perrin-Riou, B., Periodes p-adiques, C. R. Acad. Sci. Paris300 (1985) pp. 455-457. Zbl0602.14023MR788970
  9. [9] Tate, J., p-divisible groups, in Proceedings of a conference on local fields, (NUFFIC Summer School, Driebergen), Springer-Verlag1967. Zbl0157.27601MR231827
  10. [10] Yager R., On two-variable p-adic L-functions, Ann. of Math.115 (1982) pp. 411-449. Zbl0496.12010MR647813

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