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arXiv · 2003.05960

On the Bloch-Kato conjecture for GSp(4)

David Loeffler·Sarah Livia Zerbes
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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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David Loeffler, Sarah Livia Zerbes. 2020-03-12. On the Bloch-Kato conjecture for GSp(4). https://doi.org/10.4310/cjm.260722230404

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