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Canonical singular hermitian metrics on relative canonical bundels, mathArxiv. 0704.0566

By Hajime Tsuji


We introduce a new class of canonical AZD’s (called the supercanonical AZD’s) on the canonical bundles of smooth projective varieties with pseudoeffective canonical classes. We study the variation of the supercanonical AZD ˆ hcan under projective deformations and give a new proof of the invariance of plurigenera. This paper is a continuation of [T5]

Year: 2007
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