365 citations
- California Institute of TechnologyUS4 papers
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Showing 2004 · math.NTShow all
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math.NT2004
The period-index problem in WC-groups I: elliptic curves
Pete L. Clark
Let E/K be an elliptic curve defined over a number field, and let p be a prime number such that E(K) has full p-torsion. We show that the order of the p-part of the Shafarevich-Tat…
math.NT2004
A Gluing Lemma And Overconvergent Modular Forms
Payman L Kassaei
We prove a gluing lemma for sections of line bundles on a rigid analytic variety. We apply the lemma, in conjunction with a result of Buzzard's, to give a proof of (a generalizatio…