Kulikov-Persson-Pinkham theorem via smoothing of dlt models
Complex Variables
2026-02-16 v4 Algebraic Geometry
Abstract
We give an alternative proof of the Kulikov-Persson-Pinkham Theorem for a proper K\"ahler degeneration of K-trivial smooth surfaces. After running the Minimal Model Program, the obtained minimal dlt model has mild singularities which we resolve via Brieskorn's simultaneous resolutions and toric resolutions.
Keywords
Cite
@article{arxiv.2503.20669,
title = {Kulikov-Persson-Pinkham theorem via smoothing of dlt models},
author = {José Galindo-Jiménez},
journal= {arXiv preprint arXiv:2503.20669},
year = {2026}
}
Comments
10 pages. V4 introduced new relevant references to the topic