Bloch--Kato conjectures for automorphic motives

2019/07/19 by Frank Calegari, Calegari, Frank, David Geraghty +3 · 1 citation
Mathematics · Psychology · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Automorphic form #Geometry and complex manifolds #Mathematical economics #Mathematics #Psychology #Pure mathematics #math.NT #msc:11F33 #msc:11F80

paper · pdf · doi:10.48550/arxiv.1907.08694

published in arXiv (Cornell University) (Cornell University) · This will be published as an appendix to "Minimal modularity lifting for non-regular symplectic representations" and will appear in Duke Math

arxiv created 2019/07/19 · openalex publication_date 2019/07/19 · arxiv updated 2019/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We prove a special case of the Bloch-Kato conjecture for adjoint motives associated to modular abelian surfaces.

Citations

• On Euler Products and the Classification of Automorphic Forms II
• Modular Elliptic Curves and Fermat's Last Theorem

Cited by

• Potential Automorphy of K3 Surfaces with Large Picard Rank

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