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

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In 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.
16 pages

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Algebraic Geometry, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/110039

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603064
 http://arxiv.org/abs/math/0603064

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arXiv