On termination of minimal model program for log canonical pairs on complex analytic spaces
Algebraic Geometry
2025-12-09 v2
Abstract
We study the termination of minimal model programs for log canonical pairs in the complex analytic setting. By using the termination, we prove a relation between the minimal model theory for projective log canonical pairs and that for log canonical pairs in the complex analytic setting. The minimal model programs for algebraic stacks and analytic stacks are also discussed.
Keywords
Cite
@article{arxiv.2501.03531,
title = {On termination of minimal model program for log canonical pairs on complex analytic spaces},
author = {Makoto Enokizono and Kenta Hashizume},
journal= {arXiv preprint arXiv:2501.03531},
year = {2025}
}
Comments
25 pages. Final version. Some arguments in proofs were added. References were updated. To appear in J. London Math. Soc