p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication

• 成果类型: Article
• 署名作者: Kim, Minhyong
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.172.751
• 发表日期: 2010
• 页码: 751-759
• 关键词: unipotent albanese map

摘要

We show how the finiteness of integral points on an elliptic curve over Q with complex multiplication can be accounted for by the nonvanishing of L-functions that leads to bounds for dimensions of Selmer varieties.