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.
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页码：829 / 853
页数：25
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