On the Hitchin morphism in positive characteristic

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dc.creatorLaszlo, Yves
dc.creatorPauly, Christian
dc.date2000-08-31
dc.date.accessioned2026-07-07T04:37:04Z
dc.date.available2026-07-07T04:37:04Z
dc.descriptionLet X be a smooth projective curve over a field of characteristic p>0. We show that the Hitchin morphism, which associates to a Higgs bundle its characteristic polynomial, has a non-trivial deformation over the affine line. This deformation is constructed by considering the moduli stack of t-connections on vector bundles on X and an analogue of the p-curvature, and by observing that the associated characteristic polynomial is, in a suitable sense, a p-th power.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0008238
dc.identifierhttp://arxiv.org/abs/math/0008238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59827
dc.subjectAlgebraic Geometry
dc.titleOn the Hitchin morphism in positive characteristic
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