\(\mathfrak p\)-rigidity and Iwasawa \(\mu\)-invariants

DOI10.2140/ant.2017.11.1921zbMath1405.11083OpenAlexW2765794593MaRDI QIDQ1677810

Haruzo Hida, Ashay A. Burungale

Publication date: 13 November 2017

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

Full work available at URL: https://doi.org/10.2140/ant.2017.11.1921

zbMATH Keywords

Shimura varietyIwasawa \(\mu\)-invariants\({\mathfrak p}\)-rigidityHecke stable subvarietyHilbert \(p\)-modular formsKatz \({\mathfrak p}\)-adic \(L\)-function

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Iwasawa theory (11R23) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (4)

Differential operators and families of automorphic forms on unitary groups of arbitrary signature ⋮ Quantitative non-vanishing of Dirichlet \(L\)-values modulo \(p\) ⋮ On the non-vanishing of \(p\)-adic heights on CM abelian varieties, and the arithmetic of Katz \(p\)-adic \(L\)-functions ⋮ On the non-triviality of the $p$-adic Abel–Jacobi image of generalised Heegner cycles modulo $p$, I: Modular curves

Cites Work

• Special values of anticyclotomic Rankin-Selberg \(L\)-functions
• An \(l\neq p\)-interpolation of genuine \(p\)-adic \(L\)-functions
• \(p\)-adic \(L\)-functions for CM fields
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• Irreducibility of the Igusa tower
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• On analytic families of polarized abelian varieties and automorphic functions
• On the -invariant of the cyclotomic derivative of a Katzp-adic -function
• ANDRÉ–OORT CONJECTURE AND NONVANISHING OF CENTRAL -VALUES OVER HILBERT CLASS FIELDS
• ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES
• Anticyclotomic p-adic L-function of Central Critical Rankin-Selberg L-value
• Remarques sur l'invariant mu d'Iwasawa dans le cas CM
• Quadratic Exercises in Iwasawa Theory
• Elliptic Curves and Arithmetic Invariants
• Local indecomposability of Tate modules of non-CM abelian varieties with real multiplication
• Vanishing of the μ-invariant of p-adic Hecke L-functions
• The Vanishing of μ-Invariant of p-adic Hecke L-Functions for CM Fields
• Anti-cyclotomic Katz $p$-adic $L$-functions and congruence modules

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