Frobenius pull-back and stability of vector bundles in characteristic 2

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dc.creatorYu, Jiu-Kang
dc.creatorXia, Eugene Z.
dc.date2001-11-07
dc.date.accessioned2026-07-07T04:44:25Z
dc.date.available2026-07-07T04:44:25Z
dc.descriptionLet X be a smooth projective curve of genus g>1 over an algebraically closed field of characteristic 2. Pull-back by the (absolute) Frobenius on X only defines a rational morphism on the moduli scheme of rank-2 vector bundles on X, because the Frobenius pull-back may destory stability of a vector bundle. This paper introduces and studies a Harder-Narasimhan type stratification on the moduli scheme and proves that the family of semi-stable rank-2 vector bundles (with a fixed degree) whose Frobenius pull-back are not semi-stable is parameterized by an irreducible subscheme of dimension 3g-4.
dc.descriptionpdf, 9 pages
dc.identifierhttps://arxiv.org/abs/math/0111068
dc.identifierhttp://arxiv.org/abs/math/0111068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62578
dc.subjectAlgebraic Geometry
dc.subject14D20, 14H60
dc.titleFrobenius pull-back and stability of vector bundles in characteristic 2
dc.typetext

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