On quasi-log structures for complex analytic spaces
Algebraic Geometry
2025-02-04 v4 Complex Variables
Abstract
We introduce the notion of quasi-log complex analytic spaces and establish various fundamental properties. Moreover, we prove that a semi-log canonical pair naturally has a quasi-log complex analytic space structure. This paper is part of the author's project to establish a minimal model theory for projective morphisms between complex analytic spaces.
Cite
@article{arxiv.2209.11401,
title = {On quasi-log structures for complex analytic spaces},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:2209.11401},
year = {2025}
}
Comments
42 pages, v2: a minor revision, v3: a typo was corrected, v4: minor revisions, the references were updated