On quasi-log structures for complex analytic spaces

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.

42 pages, v2: a minor revision, v3: a typo was corrected, v4: minor revisions, the references were updated