On genus-change in algebraic curves over nonperfect fields

2007/03/05 by Stefan Schroeer, Schroeer, Stefan · 2 citations
Mathematics · #14H20 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:14H20

paper · pdf · doi:10.48550/arxiv.math/0703122

4 pages

arxiv created 2007/03/05 · arxiv updated 2009/12/01

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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