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arXiv:2101.06530 [math.AG]AbstractReferencesReviewsResources

Values of zeta functions of arithmetic surfaces at $s=1$

S. Lichtenbaum, N. Ramachandran

Published 2021-01-16Version 1

We show that the recent conjecture of the first-named author for the special value at $s=1$ of the zeta function of an arithmetic surface is equivalent to the Birch-Swinnerton-Dyer conjecture for the Jacobian of the generic fibre.

Comments: 27 pages
Categories: math.AG, math.NT
Subjects: 11G40, 14G10, 19F27
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