Arithmetic of Shimura curves

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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.

Original languageEnglish (US)
Pages (from-to)573-592
Number of pages20
JournalScience China Mathematics
Issue number3
StatePublished - 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • CM-points
  • L-series
  • Shimura curves


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