Flops and minimal models for generalized pairs

TL;DR

This paper proves that different minimal models of a generalized lc pair can be connected through a sequence of symmetric flops, providing new insights into the structure of these models.

Contribution

It establishes the existence of small birational models linking minimal models via symmetric flops for generalized lc pairs.

Findings

Minimal models of a generalized lc pair can be connected by symmetric flops.

Existence of small birational models linking different minimal models.

Applications to the structure theory of generalized pairs.

Abstract

We show that given any two minimal models of a generalized lc pair, there exist small birational models which are connected by a sequence of symmetric flops. We also present some applications.