Bloch--Kato conjectures for automorphic motives
Frank Calegari, David Geraghty, and Michael Harris
TL;DR
This paper proves a specific case of the Bloch-Kato conjecture related to automorphic motives, focusing on adjoint motives of modular abelian surfaces, advancing understanding in number theory and algebraic geometry.
Contribution
It establishes a proof for a special case of the Bloch-Kato conjecture concerning automorphic motives linked to modular abelian surfaces, a novel result in the field.
Findings
Confirmed a case of the Bloch-Kato conjecture for certain automorphic motives
Extended the understanding of motives associated with modular abelian surfaces
Provided new techniques for approaching conjectures in algebraic geometry
Abstract
We prove a special case of the Bloch-Kato conjecture for adjoint motives associated to modular abelian surfaces.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Geometry and complex manifolds