English

Canonical singular hermitian metrics on relative canonical bundles

Algebraic Geometry 2007-11-05 v5 Complex Variables

Abstract

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

Keywords

Cite

@article{arxiv.0704.0566,
  title  = {Canonical singular hermitian metrics on relative canonical bundles},
  author = {Hajime Tsuji},
  journal= {arXiv preprint arXiv:0704.0566},
  year   = {2007}
}

Comments

Correction on the proof of Lemma 3.2 and Corollary 3.4