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

MathSciNet review:
766970

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**1.**Jun-ichi Igusa,*On the structure of a certain class of Kaehler varieties*, Amer. J. Math.**76**(1954), 669–678. MR**0063740****2.**Yozô Matsushima and Goro Shimura,*On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes*, Ann. of Math. (2)**78**(1963), 417–449. MR**0155340****3.**Goro Shimura,*On analytic families of polarized abelian varieties and automorphic functions*, Ann. of Math. (2)**78**(1963), 149–192. MR**0156001****4.**Goro Shimura,*On the field of definition for a field of automorphic functions. II*, Ann. of Math. (2)**81**(1965), 124–165. MR**0171783****5.**Goro Shimura,*Moduli and fibre systems of abelian varieties*, Ann. of Math. (2)**83**(1966), 294–338. MR**0199190****6.**Goro Shimura,*On canonical models of arithmetic quotients of bounded symmetric domains*, Ann. of Math. (2)**91**(1970), 144–222. MR**0257031****7.**Goro Shimura,*Introduction to the arithmetic theory of automorphic functions*, Publications of the Mathematical Society of Japan, No. 11. Iwanami Shoten, Publishers, Tokyo; Princeton University Press, Princeton, N.J., 1971. Kan\cflex o Memorial Lectures, No. 1. MR**0314766****8.**Tetsuji Shioda,*On elliptic modular surfaces*, J. Math. Soc. Japan**24**(1972), 20–59. MR**0429918****9.**A. Silverberg, Ph.D. thesis, Princeton Univ., 1984.

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