Variation of anticyclotomic Iwasawa invariants in Hida families

DOI10.2140/ant.2017.11.2339zbMath1404.11126arXiv1504.06310OpenAlexW2962893448MaRDI QIDQ1689478

Chan-Ho Kim, Francesc Castella, Matteo Longo

Publication date: 12 January 2018

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06310

zbMATH Keywords

Iwasawa invariantsmodular formsSelmer groupsHeegner pointsHida theoryIwasawa main conjecturespecial \(L\)-values

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Iwasawa theory (11R23)

Related Items (9)

Big Heegner points and special values of \(L\)-series ⋮ An explicit comparison of anticyclotomic p-adic L-functions for Hida families ⋮ Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg \(L\)-values in Hida families ⋮ On the Iwasawa invariants of BDP Selmer groups and BDP \(p\)-adic \(L\)-functions ⋮ Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms. II ⋮ Variation of the algebraic λ-invariant over a solvable extension ⋮ Controlling \(\lambda\)-invariants for the double and triple product \(p\)-adic \(L\)-functions ⋮ \(\Lambda\)-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves ⋮ Rank parity for congruent supersingular elliptic curves

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