p -adic heights for semi-stable abelian varieties

John W. Jones

Compositio Mathematica (1990)

  • Volume: 73, Issue: 1, page 31-56
  • ISSN: 0010-437X

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Jones, John W.. "$p$-adic heights for semi-stable abelian varieties." Compositio Mathematica 73.1 (1990): 31-56. <http://eudml.org/doc/89996>.

@article{Jones1990,
author = {Jones, John W.},
journal = {Compositio Mathematica},
keywords = {algebraic -adic height pairing for abelian varieties; singular reductions; cohomology groups},
language = {eng},
number = {1},
pages = {31-56},
publisher = {Kluwer Academic Publishers},
title = {$p$-adic heights for semi-stable abelian varieties},
url = {http://eudml.org/doc/89996},
volume = {73},
year = {1990},
}

TY - JOUR
AU - Jones, John W.
TI - $p$-adic heights for semi-stable abelian varieties
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 73
IS - 1
SP - 31
EP - 56
LA - eng
KW - algebraic -adic height pairing for abelian varieties; singular reductions; cohomology groups
UR - http://eudml.org/doc/89996
ER -

References

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  1. 1 Grothendieck, A.: "Le groupe de Brauer III", Dix exposes sur la cohomologie des schemes. Zbl0198.25901
  2. 2 Jones, J.: Iwasawa L-functions of multiplicative Abelian varieties. Duke Math. J. (to appear). Zbl0716.14008MR1016896
  3. 3 Mazur, B.: Rational points on abelian varieties with values in towers of number fields. Invent. math.18, 183-266 (1972). Zbl0245.14015MR444670
  4. 4 Mazur, B., Messing, W.: Universal extensions and one-dimensional crystalline cohomology. Lecture Notes in Math., vol. 370. Berlin-Heidelberg-New York: Springer (1974). Zbl0301.14016MR374150
  5. 5 Mazur, B., Tate, J.: "Canonical heights via biextensions", in Arithmetic and Geometry, vol I, Birkäuser, 195-238 (1983). Zbl0574.14036
  6. 6 Mazur, B., Tate, J., Teitelbaum, J.: On p-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Invent. math.84, 1-48 (1986). Zbl0699.14028MR830037
  7. 7 McCallum, W.: Duality theorems for Neŕon models. Duke Math. J.531093-1124 (1986). Zbl0623.14023MR874683
  8. 8 Nasybullin, A.: Elliptic Tate curves over local Γ-extensions. Math. Notes of U.S.S.R.13322-327 (1973). Zbl0268.14011
  9. 9 Schneider, P.: p-adic height pairings I. Invent. math.69, 401-409 (1982). Zbl0509.14048MR679765
  10. 10 Schneider, P.: Iwasawa L-functions of varieties over algebraic number fields. A first approach. Invent. math.71, 251-293 (1983). Zbl0511.14010MR689645
  11. 11 Schneider, P.: p-adic height pairings II. Invent. math. 79, 329-374 (1985). Zbl0571.14021MR778132

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