On the Bloch-Kato conjecture for GSp(4)

2020/03/12 by David Loeffler, Sarah Livia Zerbes, Loeffler, David +1 · 6 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Finite Group Theory Research

paper · pdf · doi:10.4310/cjm.260722230404

Abstract

We prove an explicit reciprocity law for the Euler system attached to the spin motive of a genus 2 Siegel modular form. As consequences, we obtain one inclusion of the Iwasawa Main Conjecture for such motives, and the Bloch--Kato conjecture in analytic rank 0 for their critical twists.

Cited by

• A universal Euler system for GSp 4
• Iwasawa theory for quadratic Hilbert modular forms
• Hirzebruch-Zagier classes and rational elliptic curves over quintic fields
• On some zeta-integrals for unramified representations of GSp(4)
• Iwasawa theory of automorphic representations of GL_2n at non-ordinary primes
• Explicit Motivic Mixed Elliptic Chabauty-Kim

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