On the Bloch-Kato conjecture for GSp(4)
Number Theory
2026-04-22 v4
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.
Cite
@article{arxiv.2003.05960,
title = {On the Bloch-Kato conjecture for GSp(4)},
author = {David Loeffler and Sarah Livia Zerbes},
journal= {arXiv preprint arXiv:2003.05960},
year = {2026}
}
Comments
Accepted version, to appear in "Cambridge J. Math."