Finiteness of Mordell-Weil groups of generic Abelian varieties

Author:
Alice Silverberg

Journal:
Bull. Amer. Math. Soc. **12** (1985), 131-133

MSC (1980):
Primary 14K10, 14K22; Secondary 10D20

DOI:
https://doi.org/10.1090/S0273-0979-1985-15316-9

MathSciNet review:
766970

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**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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DOI:
https://doi.org/10.1090/S0273-0979-1985-15316-9