Moduli of Vector Bundles on Curves in Positive Characteristics

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dc.creatorJoshi, Kirti
dc.creatorXia, Eugene Z.
dc.date1999-10-04
dc.date.accessioned2026-07-07T05:31:01Z
dc.date.available2026-07-07T05:31:01Z
dc.descriptionLet X be a projective curve of genus 2 over an algebraically closed field of characteristic 2. The Frobenius map on X induces a rational map on the moduli scheme of rank-2 bundles. We show that up to isomorphism, there is only one (up to tensoring by an order two line bundle) semi-stable vector bundle of rank 2 (with determinant equal to a theta characteristic) whose Frobenius pull-back is not semi-stable. The indeterminacy of the Frobenius map at this point can be resolved by introducing Higgs bundles.
dc.identifierhttps://arxiv.org/abs/math/9910014
dc.identifierhttp://arxiv.org/abs/math/9910014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79195
dc.subjectAlgebraic Geometry
dc.subject14D20;14H60
dc.titleModuli of Vector Bundles on Curves in Positive Characteristics
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