Cone and contraction theorem for projective morphisms between complex analytic spaces
Algebraic Geometry
2023-08-15 v4 Complex Variables
Abstract
We discuss the cone and contraction theorem in a suitable complex analytic setting. More precisely, we establish the cone and contraction theorem of normal pairs for projective morphisms between complex analytic spaces. This result is a starting point of the minimal model program for complex analytic log canonical pairs. In this paper, we are mainly interested in normal pairs whose singularities are worse than kawamata log terminal singularities.
Cite
@article{arxiv.2209.06382,
title = {Cone and contraction theorem for projective morphisms between complex analytic spaces},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:2209.06382},
year = {2023}
}
Comments
52 pages, v2: a minor revision which makes it compatible with arXiv:2205.14801 [math.AG] and arXiv:2209.11401 [math.AG], v3: a minor revision, v4: minor revisions which make this paper compatible with the author's other preprints