Higher coherent cohomology and \(p\)-adic modular forms of singular weights

DOI10.1215/00127094-2019-0075zbMath1481.11051OpenAlexW3021335334MaRDI QIDQ784206

Vincent Pilloni

Publication date: 3 August 2020

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1588903316

zbMATH Keywords

Shimura varietiesGalois representations\(p\)-adic modular formscoherent cohomologyautomorphic vector bundlesSiegel threefolds

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (8)

Square root \(p\)-adic \(L\)-functions. I: Construction of a one-variable measure ⋮ Minimal modularity lifting for nonregular symplectic representations ⋮ Reciprocity in the Langlands program since Fermat's last theorem ⋮ Euler systems and the Bloch-Kato conjecture for automorphic Galois representations ⋮ Abelian surfaces over totally real fields are potentially modular ⋮ Higher Hida theory and \(p\)-adic \(L\)-functions for \(\mathrm{GSp}_4\) ⋮ An introduction to Eisenstein measures ⋮ Families of coherent PEL automorphic forms

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