Minimal model program for normal pairs along log canonical locus in complex analytic setting

TL;DR

This paper develops a minimal model theory for normal pairs specifically along the log canonical locus within the complex analytic setting, extending previous algebraic results to the analytic context.

Contribution

It introduces the first minimal model program for normal pairs along the log canonical locus in complex analytic geometry, generalizing prior algebraic results.

Findings

Established minimal model theory for normal pairs in complex analytic setting.

Extended algebraic minimal model results to complex analytic context.

Provided foundational tools for further research in complex analytic birational geometry.

Abstract

We establish the minimal model theory for normal pairs along log canonical locus in the complex analytic setting. This is the complex analytic analog of the previous result by the author.