This https://arxiv.org/abs/2503.20669 has been replaced. initial toot: https://mastoxiv.page/@arXiv_mat…
Kulikov-Persson-Pinkham theorem via smoothing of dlt modelsWe give an alternative proof of the Kulikov-Persson-Pinkham Theorem for a projective 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.