Equivariant Riemann-Roch theorems for curves over perfect fields

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We 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.
20 pages

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Algebraic Geometry, Number Theory, Representation Theory, 14H30; 11R32; 20C20

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http://salesiana.dossiersoluciones.com/handle/123456789/158530

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701257
 http://arxiv.org/abs/math/0701257

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arXiv