A Vanishing Result for Toric Varieties Associated with Root Systems

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dc.creatorGashi, Qëndrim R.
dc.date2007-10-30
dc.date.accessioned2026-07-07T08:39:37Z
dc.date.available2026-07-07T08:39:37Z
dc.descriptionConsider a root system $R$ and the corresponding toric variety $V_R$ whose fan is the Weyl fan and whose lattice of characters is given by the root lattice for $R$. We prove the vanishing of the higher cohomology groups for certain line bundles on $V_R$ by proving a purely combinatorial result for root systems. These results are related to a converse to Mazur's Inequality for (simply-connected) split reductive groups.
dc.identifierhttps://arxiv.org/abs/0710.5751
dc.identifierhttp://arxiv.org/abs/0710.5751
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141134
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.titleA Vanishing Result for Toric Varieties Associated with Root Systems
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