English

Deformations of varieties of general type

Algebraic Geometry 2022-02-09 v3

Abstract

We prove that small deformations of a projective variety of general type are also projective varieties of general type, with the same plurigenera. Version 2: small changes in first half. Improved version of the second half is now a separate preprint (Seshadri's criterion and openness of projectivity). Version 3: Footnote corrects citation on p.4.

Keywords

Cite

@article{arxiv.2101.10986,
  title  = {Deformations of varieties of general type},
  author = {János Kollár},
  journal= {arXiv preprint arXiv:2101.10986},
  year   = {2022}
}