FINITENESS OF III OVER TOTALLY-REAL FIELDS

被引：13

作者：

KOLYVAGIN, VA

LOGACHEV, DYJ

机构：

[1] VA STEKLOV MATH INST,MOSCOW,USSR

[2] ACAD SCI USSR,INST APPL MATH,KHABAROVSK,USSR

来源：

MATHEMATICS OF THE USSR-IZVESTIYA | 1992年 / 39卷 / 01期

关键词：

D O I：

10.1070/IM1992v039n01ABEH002228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Kolyvagin's method for the proof of the finiteness of III is extended to abelian varieties with real multiplication, of L-rank 0, defined over totally real fields, if they are factors of the Jacobians of Shimura curves. The finiteness of III for such a variety is proved, starting from the conditions that a Heegner point on it is not a torsion point.

引用

页码：829 / 853

页数：25

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