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arXiv · 2503.20669

Kulikov-Persson-Pinkham theorem via smoothing of dlt models

José Galindo-Jiménez
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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.

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José Galindo-Jiménez. 2025-03-26. Kulikov-Persson-Pinkham theorem via smoothing of dlt models. https://arxiv.org/abs/2503.20669

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