On termination of minimal model program for log canonical pairs on complex analytic spaces

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.

25 pages. Final version. Some arguments in proofs were added. References were updated. To appear in J. London Math. Soc