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

Title data

Keller, Timo ; Stoll, Michael:
Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces.
In: Comptes Rendus Mathématique. Vol. 360 (2022) . - pp. 483-489.
ISSN 1778-3569
DOI: https://doi.org/10.5802/crmath.313

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Abstract in another language

Let X be one of the 28 Atkin-Lehner quotients of a curve X0(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.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Subject classification:	MSC Code: 11G40, 11-04, 11G10, 11G30, 14G35
Institutions of the University:	Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) > Chair Mathematics II (Computer Algebra) - Univ.-Prof. Dr. Michael Stoll
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	22 Dec 2023 07:17
Last Modified:	08 Jan 2024 13:17
URI:	https://eref.uni-bayreuth.de/id/eprint/87794