Vanishing theorems for projective morphisms between complex analytic spaces
Algebraic Geometry
2023-10-17 v7 Complex Variables
Abstract
We discuss vanishing theorems for projective morphisms between complex analytics spaces and some related results. They will play a crucial role in the minimal model theory for projective morphisms of complex analytic spaces. Roughly speaking, we establish an ultimate generalization of Koll\'ar's package from the minimal model theoretic viewpoint.
Keywords
Cite
@article{arxiv.2205.14801,
title = {Vanishing theorems for projective morphisms between complex analytic spaces},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:2205.14801},
year = {2023}
}
Comments
21 pages, v2: very minor revision, v3: a minor revision which makes it compatible with arXiv:2209.06382 [math.AG] and arXiv:2209.11401 [math.AG], v4: a very minor revision, v5: a minor revision, v6: very minor revisions, v7: very minor revisions following referee's comments