Overconvergent Eichler–Shimura isomorphisms

DOI10.1017/S1474748013000364zbMath1379.11062arXiv1303.4878MaRDI QIDQ4983488

Fabrizio Andreatta, Glenn Stevens, Adrian Iovita

Publication date: 27 March 2015

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4878

zbMATH Keywords

overconvergent modular symbols overconvergent modular forms \(p\)-adic comparison isomorphisms Galois representations Hodge-Tate decomposition

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) (p)-adic theory, local fields (11F85) Varieties over finite and local fields (11G25)

Related Items (18)

\(p\)-adic families of modular forms and \(p\)-adic Abel-Jacobi maps ⋮ Rankin-Eisenstein classes in Coleman families ⋮ A \(p\)-adic analytic family of the \(D\)-th Shintani lifting for a Coleman family and congruences between the central \(L\)-values ⋮ Purity for families of Galois representations ⋮ Overconvergent Eichler–Shimura isomorphisms for quaternionic modular forms over ℚ ⋮ p-adic Eichler–Shimura maps for the modular curve ⋮ Euler systems and the Bloch-Kato conjecture for automorphic Galois representations ⋮ On extra zeros of 𝑝-adic Rankin–Selberg 𝐿-functions ⋮ OVERCONVERGENT DE RHAM EICHLER–SHIMURA MORPHISMS ⋮ A 0.5 (half) overconvergent Eichler-Shimura isomorphism ⋮ Overconvergent modular forms and perfectoid Shimura curves ⋮ Kato's Euler system in families. II ⋮ A pairing on the cuspidal eigenvariety for \(\text{GSp}_{2g}\) and the ramification locus ⋮ Overconvergent Eichler-Shimura isomorphisms for unitary Shimura curves over totally real fields ⋮ Triple product \(p\)-adic \(L\)-functions for balanced weights ⋮ Overconvergent cohomology, \(p\)-adic \(L\)-functions and families for \(\mathrm{GL}(2)\) over CM fields ⋮ Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou ⋮ Interpolation of Beilinson-Kato elements and \(p\)-adic \(L\)-functions

Cites Work

• The analytic variation of p-adic Hodge structure
• \(p\)-adic Banach spaces and families of modular forms
• Overconvergent modular forms and the Fontaine-Mazur conjecture
• Semistable sheaves and comparison isomorphisms in the semistable case
• On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms
• Toric Singularities

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