Twisted cscK metrics and Kähler slope stability

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dc.creatorStoppa, Jacopo
dc.date2008-04-02
dc.date.accessioned2026-07-07T09:29:54Z
dc.date.available2026-07-07T09:29:54Z
dc.descriptionWe introduce a cohomological obstruction to solving the constant scalar curvature Kähler (cscK) equation twisted by a semipositive form, appearing in works of Fine and Song-Tian. Geometrically this gives an obstruction for a manifold to be the base of a holomorphic submersion carrying a cscK metric in certain ``adiabatic'' classes. In turn this produces many new examples of general type threefolds with classes which do not admit a cscK representative. When the twist vanishes our obstruction extends the slope stability of Ross-Thomas to effective divisors on a Kähler manifold. Thus we find examples of non-projective slope unstable manifolds.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/0804.0414
dc.identifierhttp://arxiv.org/abs/0804.0414
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157962
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.titleTwisted cscK metrics and Kähler slope stability
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