Arithmetic of Shimura curves

作者：Zhang Shou Wu^*

来源：Science China Mathematics, 2010, 53(3): 573-592.

DOI：10.1007/s11425-010-0046-2

• Shimura curves
• CM-points
• L-series

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

• 出版日期2010-3