The generalized Verschiebung map for curves of genus 2

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dc.creatorOsserman, Brian
dc.date2004-10-29
dc.date.accessioned2026-07-07T05:13:47Z
dc.date.available2026-07-07T05:13:47Z
dc.descriptionLet C be a smooth curve, and M_r(C) the coarse moduli space of vector bundles of rank r and trivial determinant on C. We examine the generalized Verschiebung map V_r: M_r(C^(p)) --> M_r(C) induced by pulling back under Frobenius. Our main result is a computation of the degree of V_2 for a general C of genus 2, in characteristic p>2. We also give several general background results on the Verschiebung in an appendix.
dc.description21 pages. Contents of chapter IV of PhD thesis, Massachusetts Institute of Technology, 2004
dc.identifierhttps://arxiv.org/abs/math/0410613
dc.identifierhttp://arxiv.org/abs/math/0410613
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73041
dc.subjectAlgebraic Geometry
dc.subject14H60
dc.titleThe generalized Verschiebung map for curves of genus 2
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