Minimal model program for projective morphisms between complex analytic spaces

TL;DR

This paper extends the minimal model program to projective morphisms between complex analytic spaces, confirming that key results from algebraic geometry hold in this broader analytic context.

Contribution

It demonstrates that the minimal model program results by Birkar et al. are valid for projective morphisms of complex analytic spaces, expanding their applicability.

Findings

Validation of minimal model program results in complex analytic setting

Extension of algebraic geometry techniques to complex analytic spaces

Discussion of related topics in complex analytic geometry

Abstract

We discuss the minimal model program for projective morphisms of complex analytic spaces. Roughly speaking, we show that the results obtained by Birkar--Cascini--Hacon--M\textsuperscript{c}Kernan hold true for projective morphisms between complex analytic spaces. We also treat some related topics.