JOURNAL ARTICLE
p-adicL-functions and Selmer varieties associated to elliptic curves with complex multiplication
Year: 2010 Journal: Annals of Mathematics Vol: 172 (1)Pages: 751-759 Publisher: Princeton University
Abstract
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.
Keywords:
Mathematics Complex multiplication Elliptic curve Multiplication (music) Pure mathematics Combinatorics
Metrics
28
Cited By
5.88
FWCI (Field Weighted Citation Impact)
9
Refs
0.96
Citation Normalized Percentile
Is in top 1%
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Citation History
Topics
Algebraic Geometry and Number Theory
Physical Sciences → Mathematics → Geometry and Topology
Analytic Number Theory Research
Physical Sciences → Mathematics → Algebra and Number Theory
Advanced Algebra and Geometry
Physical Sciences → Mathematics → Mathematical Physics
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