arxiv:2107.00325

Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces

Published on Jul 1, 2021

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Abstract

Let X be one of the 28 Atkin-Lehner quotients of a curve X_0(N) such that X has genus 2 and its Jacobian variety J is absolutely simple. We show that the Shafarevich-Tate group of J/Q is trivial. This verifies the strong BSD conjecture for J.

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