On genus-change in algebraic curves over nonperfect fields

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dc.creatorSchroeer, Stefan
dc.date2007-03-05
dc.date.accessioned2026-07-07T07:50:14Z
dc.date.available2026-07-07T07:50:14Z
dc.descriptionI 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.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0703122
dc.identifierhttp://arxiv.org/abs/math/0703122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125095
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14H20
dc.titleOn genus-change in algebraic curves over nonperfect fields
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