Natural Lie Algebra bundles on rank two s-Kähler manifolds, abelian varieties and moduli of curves

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dc.creatorGaiffi, Giovanni
dc.creatorGrassi, Michele
dc.date2008-02-13
dc.date2008-02-21
dc.date.accessioned2026-07-07T09:21:54Z
dc.date.available2026-07-07T09:21:54Z
dc.descriptionWe prove that one can obtain natural bundles of Lie algebras on rank two s-Kähler manifolds, whose fibres are isomorphic to so(s+1,s+1), su(s+1,s+1) and sl(2s + 2,\R). In the most rigid case (which includes complex tori and abelian varieties) these bundles have natural flat connections, whose flat global sections act naturally on cohomology. We also present several natural examples of manifolds which can be equipped with an s-Kähler structure with various levels of rigidity: complex tori and abelian varieties, cotangent bundles of smooth manifolds and moduli of pointed elliptic curves.
dc.descriptionin v2 a new theorem in Section 8 has been added
dc.identifierhttps://arxiv.org/abs/0802.1822
dc.identifierhttp://arxiv.org/abs/0802.1822
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155193
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subject14M99; 53B35;81R05
dc.titleNatural Lie Algebra bundles on rank two s-Kähler manifolds, abelian varieties and moduli of curves
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