On genus-change in algebraic curves over nonperfect fields
Algebraic Geometry
2007-05-23 v1 Number Theory
Abstract
I give a new proof, in scheme-theoretic language, of Tate's old result on genus-change over nonperfect fields in characteristic p>0. Namely, for normal geometrically integral curves, the difference between arithmetic and geometric genus over the algebraic closure is divisible by (p-1)/2.
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Cite
@article{arxiv.math/0703122,
title = {On genus-change in algebraic curves over nonperfect fields},
author = {Stefan Schroeer},
journal= {arXiv preprint arXiv:math/0703122},
year = {2007}
}
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4 pages