Science China Mathematics

, Volume 53, Issue 3, pp 573–592

Arithmetic of Shimura curves

Reviews

DOI: 10.1007/s11425-010-0046-2

Cite this article as:
Zhang, SW. Sci. China Math. (2010) 53: 573. doi:10.1007/s11425-010-0046-2
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Abstract

This is the note for a series of lectures that the author gave at the Centre de Recerca Matemática (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.

Keywords

Shimura curves CM-points L-series 

MSC(2000)

11G 14G 11F 14K 

Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of MathematicsColumbia UniversityNew YorkUSA