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arXiv · 0803.2454

Finite Generation of Canonical Ring by Analytic Method

Yum-Tong Siu
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Abstract

In the 80th birthday conference for Professor LU Qikeng in June 2006 I gave a talk on the analytic approach to the finite generation of the canonical ring for a compact complex algebraic manifold of general type. This article is my contribution to the proceedings of that conference from my talk. In this article I give an overview of the analytic proof and focus on explaining how the analytic method handles the problem of infinite number of interminable blow-ups in the intuitive approach to prove the finite generation of the canonical ring. The proceedings of the LU Qikeng conference will appear as Issue No. 4 of Volume 51 of Science in China Series A: Mathematics (www.springer.com/math/applications/journal/11425).

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Yum-Tong Siu. 2008-03-17. Finite Generation of Canonical Ring by Analytic Method. https://doi.org/10.1007/s11425-008-0073-4

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