Equivariant Riemann-Roch theorems for curves over perfect fields

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dc.creatorFischbacher-Weitz, Helena B.
dc.creatorKöck, Bernhard
dc.date2007-01-09
dc.date2008-04-11
dc.date.accessioned2026-07-07T09:31:38Z
dc.date.available2026-07-07T09:31:38Z
dc.descriptionWe prove an equivariant Riemann-Roch formula for divisors on algebraic curves over perfect fields. By reduction to the known case of curves over algebraically closed fields, we first show a preliminary formula with coefficients in Q. We then prove and shed some further light on a divisibility result that yields a formula with integral coefficients. Moreover, we give variants of the main theorem for equivariant locally free sheaves of higher rank.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0701257
dc.identifierhttp://arxiv.org/abs/math/0701257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158530
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.subject14H30; 11R32; 20C20
dc.titleEquivariant Riemann-Roch theorems for curves over perfect fields
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