VALUES OF ZETA FUNCTIONS OF ARITHMETIC SURFACES AT

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https://doi.org/10.1017/s1474748022000093

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2022

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Lichtenbaum, S., & Ramachandran, N. (2023). VALUES OF ZETA FUNCTIONS OF ARITHMETIC SURFACES AT $s=1$.�Journal of the Institute of Mathematics of Jussieu,�22(5), 2455�2496. doi:10.1017/S1474748022000093

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Abstract

Abstract We show that the conjecture of [27] 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.

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http://hdl.handle.net/1903/35749

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Attribution 4.0 International
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