Logarithmic nonabelian Hodge theory in characteristic p

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dc.creatorSchepler, Daniel
dc.date2008-02-14
dc.date.accessioned2026-07-07T09:20:44Z
dc.date.available2026-07-07T09:20:44Z
dc.descriptionGiven a morphism $X \to S$ of log schemes of characteristic $p > 0$ and a lifting of $X'$ over $S$ modulo $p^2$, we use Lorenzon's indexed algebras $A_X^{gp}$ and $B_{X/S}$ to construct an equivalence between $O_X$-modules with nilpotent integrable connection and indexed $B_{X/S}$-modules with nilpotent $B_{X/S}$-linear Higgs field. If either satisfies a stricter nilpotence condition, we find an isomorphism between the de Rham cohomology of the connection and the Higgs cohomology of the Higgs field.
dc.identifierhttps://arxiv.org/abs/0802.1977
dc.identifierhttp://arxiv.org/abs/0802.1977
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154818
dc.subjectAlgebraic Geometry
dc.subject14A20; 14F30; 14F40
dc.titleLogarithmic nonabelian Hodge theory in characteristic p
dc.typetext

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