Intersection forms of toric hyperkaehler varieties

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dc.creatorHausel, Tamas
dc.creatorSwartz, Edward
dc.date2003-06-25
dc.date.accessioned2026-07-07T04:59:11Z
dc.date.available2026-07-07T04:59:11Z
dc.descriptionThis note proves combinatorially that the intersection pairing on the middle dimensional compactly supported cohomology of a smooth toric hyperkaehler variety is always definite, providing a large number of non-trivial L^2 harmonic forms for toric hyperkaehler metrics on these varieties. This is motivated by a result of Hitchin about the definiteness of the pairing of L^2 harmonic forms on complete hyperkaehler manifolds of linear growth.
dc.descriptionLatex, 7 pages
dc.identifierhttps://arxiv.org/abs/math/0306369
dc.identifierhttp://arxiv.org/abs/math/0306369
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67884
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subjectDifferential Geometry
dc.titleIntersection forms of toric hyperkaehler varieties
dc.typetext

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