Equivariant Riemann-Roch theorems for curves over perfect fields
Algebraic Geometry
2008-04-11 v2 Number Theory
Representation Theory
Abstract
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.
Cite
@article{arxiv.math/0701257,
title = {Equivariant Riemann-Roch theorems for curves over perfect fields},
author = {Helena B. Fischbacher-Weitz and Bernhard Köck},
journal= {arXiv preprint arXiv:math/0701257},
year = {2008}
}
Comments
20 pages