On the canonical representation of curves in positive characteristic

Details On the canonical representation of curves in positive characteristic On the canonical representation of curves in positive characteristic

2011-12-07

arxiv.org/abs/1112.1468v1

Mathematics

Algebraic Geometry

16 pages, 0 figures

Scientific paper

Given a smooth curve, the canonical representation of its automorphism group is the space of global holomorphic differential 1-forms as a representation of the automorphism group of the curve. In this paper, we study an explicit set of curves in positive characteristic with irreducible canonical representation whose genus is unbounded. Additionally, we study the implications this has for the de Rham hypercohomology as a representation of the automorphism group.

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