On genus-change in algebraic curves over nonperfect fields

Details On genus-change in algebraic curves over nonperfect fields On genus-change in algebraic curves over nonperfect fields

2007-03-05

arxiv.org/abs/math/0703122v1

Mathematics

Algebraic Geometry

4 pages

Scientific paper

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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