Abstract
AbstractThe purpose of this paper is to give a formula for the leading coefficient ats=1{s=1}of theL-function of one-motives over function fields in terms of Weil-étale cohomology, generalizing the Weil-étale version of the Birch and Swinnerton-Dyer conjecture in the authors’ previous work. As a consequence we express the Tamagawa number of a torus introduced by Ono–Oesterlé in terms of Weil-étale cohomology, and reprove their Tamagawa number formula.
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Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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