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Existence of minimal models for varieties of log general type

20091,335 citationsJournal Articlehybrid Open Access

Authors

Caucher Birkar · University of Cambridge

Paolo Cascini · Imperial College London

Christopher D. Hacon · University of Utah

James M textupc Kernan · University of California, Santa Barbara

Abstract

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

Topics & Keywords

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Meromorphic and Entire Functions

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Journal of the American Mathematical Society

Volume 23, Issue 2, pp. 405-468

DOI: 10.1090/s0894-0347-09-00649-3

Field-Weighted Citation Impact: 87.11

Existence of minimal models for varieties of log general type | Researchclopedia