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Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds

dc.creatorDervan, Ruadhai
dc.date.accessioned2018-11-24T23:26:43Z
dc.date.available2016-04-20T14:58:37Z
dc.date.available2018-11-24T23:26:43Z
dc.date.issued2016
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/255087
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3872
dc.description.abstractWe give a criterion for the coercivity of the Mabuchi functional for general Kàhler classes on Fano manifolds in terms of Tian's alpha invariant. This generalises a result of Tian in the anti-canonical case implying the existence of a Kàhler-Einstein metric. We also prove the alpha invariant is a continuous function on the Kàhler cone. As an application, we provide new Kàhler classes on a general degree one del Pezzo surface for which the Mabuchi functional is coercive.
dc.languageen
dc.publisherUniversité Paul Sabatier
dc.publisherAnnales de la Faculté des Sciences de Toulouse
dc.titleAlpha invariants and coercivity of the Mabuchi functional on Fano manifolds
dc.typeArticle


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