Representations of field automorphism groups

Details Representations of field automorphism groups Representations of field automorphism groups

2005-07-19

arxiv.org/abs/math/0507388v2

Mathematics

Representation Theory

18 pages

Scientific paper

This is a common introduction to math.RT/0101170, math.RT/0306333, math.RT/0506043, math.RT/0601028. Compared to these references there are new results including (i) a description of a separable closure of an extension of transcendence degree one of an algebraically closed field of positive characteristic; (ii) a "K\"unneth formula" for the products with curves; (iii) the semi-simplicity of the module of regular forms of top degree $\Omega^n_{F/k}$.

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