English

On the Minimal Model Program for K\"ahler 3-folds

Algebraic Geometry 2024-06-27 v2 Complex Variables

Abstract

In this article we prove the existence of pl-flipping and divisorial contractions and pl flips in dimension nn for compact K\"ahler varieties, assuming results of the minimal model program in dimension n1n-1. We also give a self contained proof of the cone theorem, the existence of flipping and divisorial contractions, of flips and minimal models in dimension 3.

Keywords

Cite

@article{arxiv.2306.11708,
  title  = {On the Minimal Model Program for K\"ahler 3-folds},
  author = {Omprokash Das and Christopher Hacon},
  journal= {arXiv preprint arXiv:2306.11708},
  year   = {2024}
}

Comments

48 pages. This is a major revision, Lemma 6.15 and Theorem 6.16 are new technical results, proofs and statements of various other theorems have also changed. However, the statement of the all main theorems remain unaffected

R2 v1 2026-06-28T11:09:54.755Z