Arithmetic of Shimura curves

DOI10.1007/s11425-010-0046-2zbMath1273.11097OpenAlexW2110860438MaRDI QIDQ973754

Shou-Wu Zhang

Publication date: 26 May 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-0046-2

zbMATH Keywords

CM-pointsShimura curves\(L\)-series

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Modular and Shimura varieties (14G35)

Related Items

Torsion properties of modified diagonal classes on triple products of modular curves ⋮ On $L$-functions of quadratic $\mathbb {Q}$-curves ⋮ On Heegner points for primes of additive reduction ramifying in the base field ⋮ Almost totally complex points on elliptic curves

Cites Work

• Heegner points and derivatives of \(L\)-series
• The modified diagonal cycle on the triple product of a pointed curve
• Local ε-Factors and Characters of GL(2)
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