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Shimura Curve Quotients with Odd Jacobians

โœ Scribed by Srinath Baba

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
146 KB
Volume
87
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

We study local diophantine properties of Atkin Lehner quotients of Shimura curves, using the Cerednik Drinfeld p-adic uniformization of Shimura curves. Applying these diophantine results with recent work of Poonen and Stoll, we show when the Cassels Tate pairing on the Shafarevich Tate group of the jacobians of these quotients fails to be alternating.

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