English

Deformation Invariance of Plurigenera

Algebraic Geometry 2007-05-23 v4

Abstract

We prove the invariance of plurigenera under smooth projective deformations in full generality. The proof is done by several estimates of singular hermitian metrics in terms of L2L^{2}-extension theorem of holomorphic sections.

Keywords

Cite

@article{arxiv.math/0012225,
  title  = {Deformation Invariance of Plurigenera},
  author = {Hajime Tsuji},
  journal= {arXiv preprint arXiv:math/0012225},
  year   = {2007}
}

Comments

15pages, no figure introduction was expanded and misquoted Theorem 2.4 is corrected