On Bloch-Kato Selmer groups and Iwasawa theory of \(p\)-adic Galois representations

zbMath1472.11280arXiv2010.10251MaRDI QIDQ1998997

Matteo Longo, Stefano Vigni

Publication date: 10 March 2021

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.10251

zbMATH Keywords

Iwasawa theorymodular formsSelmer groups\(p\)-adic Galois representations

Mathematics Subject Classification ID

Galois representations (11F80) Iwasawa theory (11R23)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kolyvagin's method for Chow groups and Kuga-Sato varieties
• Iwasawa's main conjecture for elliptic curves over anticyclotonic \(\mathbb Z_p\)-extensions
• Variation of Heegner points in Hida families
• Motives over totally real fields and \(p\)-adic \(L\)-functions
• Note on Nakayama's lemma for compact \(\Lambda\)-modules
• Control theorem for Bloch-Kato's Selmer groups of \(p\)-adic representations
• On the image of \(\Lambda\)-adic Galois representations
• The Birch and Swinnerton-Dyer formula for elliptic curves of analytic rank one
• Motives for modular forms
• Iwasawa L-functions of varieties over algebraic number fields. A first approach
• Kolyvagin systems and Iwasawa theory of generalized Heegner cycles
• The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
• on l-adic representations attached to modular forms II
• Euler Systems
• A refined Beilinson–Bloch conjecture for motives of modular forms
• On the parity of ranks of Selmer groups

This page was built for publication: On Bloch-Kato Selmer groups and Iwasawa theory of \(p\)-adic Galois representations