Frobenius splittings of toric varieties

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dc.creatorPayne, Sam
dc.date2008-02-28
dc.date2008-12-07
dc.date.accessioned2026-07-07T12:52:31Z
dc.date.available2026-07-07T12:52:31Z
dc.descriptionWe discuss a characteristic free version of Frobenius splittings for toric varieties and give a polyhedral criterion for a toric variety to be diagonally split. We apply this criterion to show that section rings of nef line bundles on diagonally split toric varieties are normally presented and Koszul, and that Schubert varieties are not diagonally split in general.
dc.description11 pages, 2 figures. v3: improved exposition throughout; removed Section 5 due to gap in proof of Theorem 1.5. To appear in Algebra and Number Theory
dc.identifierhttps://arxiv.org/abs/0802.4302
dc.identifierhttp://arxiv.org/abs/0802.4302
dc.identifierAlgebra Number Theory 3 (2009), no. 1, 107--119.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223322
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14M25; 13A35, 16S37, 14M15
dc.titleFrobenius splittings of toric varieties
dc.typetext

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