Frobenius splitting of Hilbert schemes of points on surfaces

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dc.creatorKumar, Shrawan
dc.creatorThomsen, Jesper Funch
dc.date1999-11-23
dc.date.accessioned2026-07-07T05:31:53Z
dc.date.available2026-07-07T05:31:53Z
dc.descriptionLet X be a quasiprojective smooth surface defined over an algebraically closed field of positive characteristic. We show that if X is Frobenius split then so is the Hilbert scheme Hilb^n(X) of n points in X. In particular, we get the higher cohomology vanishing for ample line bundles on Hilb^n(X) when X is projective and Frobenius split.
dc.descriptionLatex, 12 pages
dc.identifierhttps://arxiv.org/abs/math/9911181
dc.identifierhttp://arxiv.org/abs/math/9911181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79465
dc.subjectAlgebraic Geometry
dc.titleFrobenius splitting of Hilbert schemes of points on surfaces
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