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arXiv:1112.1468 [math.AG]AbstractReferencesReviewsResources

On the canonical representation of curves in positive characteristic

Ruthi Hortsch

Published 2011-12-07, updated 2013-02-06Version 2

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.

Comments: 13 pages, 0 figures
Journal: New York J. Math. 18 (2012) 911-924
Categories: math.AG, math.NT
Subjects: 14G17, 11G99
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