On the Existence of Good Minimal Models for K\"ahler Varieties with Projective Albanese Map

TL;DR

This paper proves the existence of good minimal models for certain compact K"ahler varieties with a projective Albanese map, assuming fibers also have good minimal models.

Contribution

It establishes the existence of good minimal models for K"ahler pairs with a projective Albanese map under fiber assumptions.

Findings

Existence of good minimal models for specified K"ahler pairs.

Conditions involving the Albanese map and fiber properties.

Advancement in minimal model theory for K"ahler varieties.

Abstract

In this article, we establish the existence of a good minimal model for a compact K\"ahler klt pair $(X, B)$ when the Albanese map of $X$ is a projective morphism and the general fiber of $(X, B)$ has a good minimal model.