Hard Lefschetz Theorem for Nonrational Polytopes

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dc.creatorKaru, Kalle
dc.date2001-12-09
dc.date2002-12-17
dc.date.accessioned2026-07-07T04:45:08Z
dc.date.available2026-07-07T04:45:08Z
dc.descriptionThe Hard Lefschetz theorem is known to hold for the intersection cohomology of the toric variety associated to a rational convex polytope. One can construct the intersection cohomology combinatorially from the polytope, hence it is well defined even for nonrational polytopes when there is no variety associated to it. We prove the Hard Lefschetz theorem for the intersection cohomology of a general polytope.
dc.description25 pages, a few errors corrected
dc.identifierhttps://arxiv.org/abs/math/0112087
dc.identifierhttp://arxiv.org/abs/math/0112087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62852
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14M25; 14F43; 52Bxx
dc.titleHard Lefschetz Theorem for Nonrational Polytopes
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