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2009•Journal of the American Mathematical SocietyOpen access

Existence of minimal models for varieties of log general type

Caucher Birkar, Paolo Cascini, Christopher D. Hacon, James M textupc Kernan

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Abstract

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

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What this paper is about

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

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OpenAlex reports 1370 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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

Key concepts: Mathematics, Variety (cybernetics), Type (biology), Finitely-generated abelian group, Pure mathematics, Projective variety, Projective test, Ring (chemistry)

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