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On the Bloch-Kato conjecture for GSp(4)

Published 12 Mar 2020 in math.NT | (2003.05960v2)

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.

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