Canonical singular hermitian metrics on relative canonical bundles

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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.
Correction on the proof of Lemma 3.2 and Corollary 3.4

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Algebraic Geometry, Complex Variables, 14J15

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http://salesiana.dossiersoluciones.com/handle/123456789/141267

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.0566
 http://arxiv.org/abs/0704.0566

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arXiv