Arithmetic of Shimura curves

Arithmetic of Shimura curves

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摘要 This is the note for a series of lectures that the author gave at the Centre de Recerca Matemtica (CRM), Bellaterra, Barcelona, Spain on October 19–24, 2009. The aim is to give a comprehensive description of some recent work of the author and his students on generalisations of the Gross-Zagier formula, Euler systems on Shimura curves, and rational points on elliptic curves. This is the note for a series of lectures that the author gave at the Centre de Recerca Matemtica (CRM), Bellaterra, Barcelona, Spain on October 19–24, 2009. The aim is to give a comprehensive description of some recent work of the author and his students on generalisations of the Gross-Zagier formula, Euler systems on Shimura curves, and rational points on elliptic curves.

作者 ZHANG Shou-Wu Department of Mathematics, Columbia University, New York, NY 10027, USA

出处《Science China Mathematics》 SCIE 2010年第3期573-592,共20页 中国科学：数学（英文版）

关键词 Shimura CURVES CM-points L-SERIES Shimura curves CM-points L-series

分类号 O186.1 [理学—基础数学]

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参考文献8

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2010年第3期

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Arithmetic of Shimura curves

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