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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
The Shafarevich-Tate group of the Jacobian variety of an Atkin-Lehner quotient of genus 2 is trivial, thus verifying the strong BSD conjecture for this Jacobian.
AI-generated summary
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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