On the Bloch-Kato conjecture for GSp(4)

Cambridge Journal of Mathematics 2026 Open access

Read full text
Authors: David Loeffler, Sarah Livia Zerbes
DOI: 10.4310/cjm.260722230404
Cited by: 15
References: 19

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.

Fields of Study & Subjects

Advanced Algebra and Geometry Algebraic Geometry and Number Theory Finite Group Theory Research

Publication details

Journal / source
Cambridge Journal of Mathematics
Publisher
International Press of Boston
Volume
14
Issue
3
Pages
603–784
Publication date
1 January 2026
Language
EN