A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring

Details A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring

2006-10-25

arxiv.org/abs/math/0610740v1

Mathematics

Algebraic Geometry

Scientific paper

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 the finite generation of the canonical ring for the case of general type. After my lectures many people asked me for a copy of the slides which I used for my lectures. Since my slides were quite sketchy because of the time limitation for the lectures, I promised to post later on a preprint server my detailed notes from which my slides were extracted. Here are my detailed notes giving the techniques and the proof.

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