Canonical singular hermitian metrics on relative canonical bundles

Details Canonical singular hermitian metrics on relative canonical bundles Canonical singular hermitian metrics on relative canonical bundles

2007-04-04

arxiv.org/abs/0704.0566v5

Mathematics

Algebraic Geometry

Correction on the proof of Lemma 3.2 and Corollary 3.4

Scientific paper

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
$\hat{h}_{can}$ under projective deformations and give a new proof of the
invariance of plurigenera.

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