Variation of mixed Hodge structure and its applications
Algebraic Geometry
2025-03-12 v3 Complex Variables
Abstract
We discuss variations of mixed Hodge structure arising from projective morphisms of complex analytic spaces. Then we treat generalizations of Koll\'ar's torsion-free theorem, vanishing theorem, and so on, for reducible complex analytic spaces as an application. The results will play a crucial role in the theory of minimal models for projective morphisms between complex analytic spaces.
Keywords
Cite
@article{arxiv.2304.00672,
title = {Variation of mixed Hodge structure and its applications},
author = {Osamu Fujino and Taro Fujisawa},
journal= {arXiv preprint arXiv:2304.00672},
year = {2025}
}
Comments
36 pages, v2: major revision, v3: major revision following referee's comments