The Weil-Etale Topology for Number Rings

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dc.creatorLichtenbaum, Stephen
dc.date2005-03-25
dc.date.accessioned2026-07-07T05:18:30Z
dc.date.available2026-07-07T05:18:30Z
dc.descriptionWe would like to construct a new Grothendieck topology for arithmetic schemes, whose cohomology groups associated with motivic complexes of sheaves are finitely generated and whose Euler characteristics are related to special values of zeta-functions. In this paper we construct this topology for rings of algebraic integers and show that the cohomology of the constant sheaf Z is related to the behavior of zeta-functions at s = 0.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0503604
dc.identifierhttp://arxiv.org/abs/math/0503604
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74682
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14F20; 11R42, 14F42
dc.titleThe Weil-Etale Topology for Number Rings
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