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

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.

书目详细资料
主要作者: Kim, M
格式: Journal article
出版: Princeton University, Department of Mathematics 2010
实物特征
总结: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.