On vanishing theorems for analytic spaces
Algebraic Geometry
2023-10-17 v2 Complex Variables
Abstract
This is a short report on our new vanishing theorems for projective morphisms between complex analytic spaces. We established a complex analytic generalization of Koll\'ar's torsion-freeness and vanishing theorem for analytic simple normal crossing pairs. Although our results may look artificial, they have already played a crucial role for the study of minimal models in the complex analytic setting.
Cite
@article{arxiv.2308.03347,
title = {On vanishing theorems for analytic spaces},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:2308.03347},
year = {2023}
}
Comments
9 pages. arXiv admin note: substantial text overlap with arXiv:2205.14801, arXiv:2209.06382, v2: minor revisions following referee's comments