The log minimal model program for K\"ahler $3$-folds

Omprokash Das; Christopher Hacon

The log minimal model program for K\"ahler $3$-folds

Algebraic Geometry 2024-04-10 v4 Complex Variables

Authors: Omprokash Das , Christopher Hacon

Abstract

In this article we show that the Log Minimal Model Program for $\mathbb{Q}$ -factorial dlt pairs $(X, B)$ on a compact K\"ahler $3$ -fold holds. More specifically, we show that after finitely many divisorial contractions and flips we obtain either a (log) minimal model or a Mori fiber space. We also prove a base point free theorem K\"ahler $3$ -folds.

Keywords

log canonical geometry

Cite

@article{arxiv.2009.05924,
  title  = {The log minimal model program for K\"ahler $3$-folds},
  author = {Omprokash Das and Christopher Hacon},
  journal= {arXiv preprint arXiv:2009.05924},
  year   = {2024}
}

Comments

Final version. To appear in the Journal of Differential Geometry

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