A refined Beilinson–Bloch conjecture for motives of modular forms

DOI10.1090/tran/6947zbMath1432.14008arXiv1303.4335OpenAlexW2340474328WikidataQ122960354 ScholiaQ122960354MaRDI QIDQ5348739

Matteo Longo, Stefano Vigni

Publication date: 21 August 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4335

zbMATH Keywords

modular formsBeilinson-Bloch conjectureHeegner cycles

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Algebraic cycles (14C25)

Related Items

Interpolation of generalized Heegner cycles in Coleman families, On the rank-part of the Mazur-Tate refined conjecture for higher weight modular forms, Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg \(L\)-values in Hida families, A \(p\)-adic Maass-Shimura operator on Mumford curves, On the structure of Selmer and Shafarevich–Tate groups of even weight modular forms, On Bloch-Kato Selmer groups and Iwasawa theory of \(p\)-adic Galois representations, Kolyvagin systems and Iwasawa theory of generalized Heegner cycles, Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists, Plus/minus Heegner points and Iwasawa theory of elliptic curves at supersingular primes, The universal \(p\)-adic Gross-Zagier formula

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