Kähler-Ricci Flow and the Minimal Model Program for Projective Varieties

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dc.creatorCascini, Paolo
dc.creatorLa Nave, Gabriele
dc.date2006-03-02
dc.date.accessioned2026-07-07T07:06:28Z
dc.date.available2026-07-07T07:06:28Z
dc.descriptionIn this note we propose to show that the Kähler-Ricci flow fits naturally within the context of the Minimal Model Program for projective varieties. In particular we show that the flow detects, in finite time, the contraction theorem of any extremal ray and we analyze the singularities of the metric in the case of divisorial contractions for varieties of general type. In case one has a smooth minimal model of general type (i.e., the canonical bundle is nef and big), we show infinite time existence and analyze the singularities.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0603064
dc.identifierhttp://arxiv.org/abs/math/0603064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110039
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.titleKähler-Ricci Flow and the Minimal Model Program for Projective Varieties
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