273 citations · 483 across the 19 of their papers we have counts for
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Abundance conjecture
Yum-Tong Siu
We sketch a proof of the abundance conjecture that the Kodaira dimension of a compact complex algebraic manifold equals its numerical Kodaira dimension. The proof consists of the f…
Techniques for the Analytic Proof of the Finite Generation of the Canonical Ring
Yum-Tong Siu
This article is written for the Proceedings of the Conference on Current Developments in Mathematics in Harvard University, November 16-17, 2007. It is an exposition of the analyti…
Additional Explanatory Notes on the Analytic Proof of the Finite Generation of the Canonical Ring
Yum-Tong Siu
This set of notes provides some additional explanatory material on the analytic proof of the finite generation of the canonical ring for a compact complex algebraic manifold of gen…
A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring
Yum-Tong Siu
On August 5, 2005 in the American Mathematical Society Summer Institute on Algebraic Geometry in Seattle and later in several conferences I gave lectures on my analytic proof of th…
Multiplier ideal sheaves in complex and algebraic geometry
Yum-Tong Siu
This article discusses the geometric application of the method of multiplier ideal sheaves. It first briefly describes its application to effective problems in algebraic geometry a…