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Ruthi Hortsch
On the canonical representation of curves in positive characteristic view print
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| Published: |
November 21, 2012 |
| Keywords: |
Canonical representation, automorphisms of curves, de Rham hypercohomology, positive characteristic |
| Subject: |
14G17 (primary), 11G99 (secondary) |
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Abstract
Given a smooth curve, the canonical representation of its automorphism group is given by the natural action of the
automorphisms on the space of global regular 1-forms. 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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| Acknowledgements
This paper was researched and written for an NSF REU under the mentorship of Bryden Cais.
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| Author information
Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139
rhortsch@math.mit.edu
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