Existence of minimal models for varieties of log general type

Birkar, Caucher; Cascini, Paolo; Hacon, Christopher; McKernan, James

doi:10.1090/S0894-0347-09-00649-3

Existence of minimal models for varieties of log general type
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by Caucher Birkar, Paolo Cascini, Christopher D. Hacon and James McKernan

J. Amer. Math. Soc. 23 (2010), 405-468

DOI: https://doi.org/10.1090/S0894-0347-09-00649-3

Published electronically: November 13, 2009

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Abstract:

We prove that the canonical ring of a smooth projective variety is finitely generated.

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