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Finiteness of Mordell-Weil groups of generic Abelian varieties
Author(s):
Alice
Silverberg
Journal:
Bull. Amer. Math. Soc.
12
(1985),
131-133.
MSC (1980):
Primary 14K10, 14K22;
Secondary 10D20
MathSciNet review:
766970
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Additional information
References:
- 1.
- J.-I. Igusa, On the structure of a certain class of Kaehler varieties, Amer. J. Math. 76 (1954), 669-678. MR 63740
- 2.
- Y. Matsushima and G. Shimura, On the cohomology groups attacked to certain vector valued differential forms on the product of the upper half planes, Ann. of Math. (2) 78 (1963), 417-449. MR 155340
- 3.
- G. Shimura, On analytic families of polarized abelian varieties and automorphic functions, Ann. of Math. (2) 78 (1963), 149-192. MR 156001
- 4.
- G. Shimura, On the field of definition for a field of automorphic functions. II, Ann. of Math. (2) 81 (1965), 124-165. MR 171783
- 5.
- G. Shimura, Moduli and fibre systems of abelian varieties, Ann. of Math. (2) 83 (1966), 294-338. MR 199190
- 6.
- G. Shimura, On canonical models of arithmetic quotients of bounded symmetric domains, Ann. of Math. (2) 91 (1970), 144-222. MR 257031
- 7.
- G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten, Tokyo and Princeton Univ. Press, Princeton, 1971. MR 314766
- 8.
- T. Shioda, On elliptic modular surfaces, J. Math. Soc. Japan 24 (1972), 20-59. MR 429918
- 9.
- A. Silverberg, Ph.D. thesis, Princeton Univ., 1984.
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15316-9
PII:
S 0273-0979(1985)15316-9
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