CM cycles on Shimura curves, and p-adic L-functions
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Publication:3143220
DOI10.1112/S0010437X12000206zbMath1282.11072arXiv1110.6465OpenAlexW2015310646WikidataQ57090049 ScholiaQ57090049MaRDI QIDQ3143220
Publication date: 29 November 2012
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.6465
Shimura curve\(p\)-adic integration\(p\)-adic Abel-Jacobi mapgeneralized Heegner cycles\(p\)-adic formula of Gross-Zagier typeanti-cyclotomic \(p\)-adic \(L\)-functionCM cycles
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) Algebraic cycles (14C25)
Related Items
A \(p\)-adic Maass-Shimura operator on Mumford curves ⋮ Generalized Heegner cycles on Mumford curves ⋮ CM cycles on Kuga-Sato varieties over Shimura curves and Selmer groups ⋮ The universal \(p\)-adic Gross-Zagier formula
Cites Work
- Kolyvagin's method for Chow groups and Kuga-Sato varieties
- Values of \(p\)-adic \(L\)-functions and a \(p\)-adic Poisson kernel
- On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
- Dilogarithms, regulators and \(p\)-adic \(L\)-functions
- Torsion points on curves and p-adic abelian integrals
- Iwasawa theory and \(p\)-adic heights
- Heegner points, \(p\)-adic \(L\)-functions, and the Cherednik-Drinfeld uniformization
- Derivatives of \(p\)-adic \(L\)-functions, Heegner cycles and monodromy modules attached to modular forms
- Arithmetic of Weil curves
- On the \(p\)-adic height of Heegner cycles
- \(p\)-adic periods, \(p\)-adic \(L\)-functions, and the \(p\)-adic uniformization of Shimura curves.
- Construction of semi-stable \(p\)-adic representations
- \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
- Teitelbaum's exceptional zero conjecture in the anticyclotomic setting
- Heegner points on Mumford-Tate curves