Invariance of plurigenera and Chow-type lemma
Algebraic Geometry
2022-06-17 v2 Complex Variables
Abstract
This paper answers a question of Demailly whether a smooth family of nonsingular projective varieties admits the deformation invariance of plurigenera affirmatively, and proves this more generally for a flat family of varieties with only canonical singularities and uncountable ones therein being of general type and also two Chow-type lemmata on the structure of a family of projective complex analytic spaces.
Keywords
Cite
@article{arxiv.2011.03306,
title = {Invariance of plurigenera and Chow-type lemma},
author = {Sheng Rao and I-Hsun Tsai},
journal= {arXiv preprint arXiv:2011.03306},
year = {2022}
}
Comments
Final version to appear in The Asian Journal of Mathematics. All comments are still welcome