Shimura Curves and Special Values of p-adic L-functions

DOI10.1093/imrn/rnu062zbMath1378.11069OpenAlexW2039036530MaRDI QIDQ5500427

Ernest Hunter Brooks

Publication date: 6 August 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnu062

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (13)

The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions ⋮ \(p\)-adic heights of generalized Heegner cycles ⋮ Power series expansions of modular forms and p-adic interpolation of the square roots of Rankin–Selberg special values ⋮ Asymptotic formula for Tate-Shafarevich groups of \(p\)-supersingular elliptic curves over anticyclotomic extensions ⋮ On the Iwasawa invariants of BDP Selmer groups and BDP \(p\)-adic \(L\)-functions ⋮ Anticyclotomic Iwasawa theory of abelian varieties of \(\mathrm{GL}_2\)-type at non-ordinary primes ⋮ 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 ⋮ A proof of Perrin-Riou's Heegner point main conjecture ⋮ Anticyclotomic \(p\)-adic \(L\)-functions and Ichino's formula ⋮ Heegner point Kolyvagin system and Iwasawa main conjecture ⋮ Generalized Heegner cycles and p-adic L-functions in a quaternionic setting

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