Kulikov-Persson-Pinkham theorem via smoothing of dlt models
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915796660256768 |
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| author | Galindo-Jiménez, José |
| author_facet | Galindo-Jiménez, José |
| contents | We give an alternative proof of the Kulikov-Persson-Pinkham Theorem for a proper Kähler 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20669 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kulikov-Persson-Pinkham theorem via smoothing of dlt models Galindo-Jiménez, José Complex Variables Algebraic Geometry 14E30, 32G13, 14J10, 14B05 We give an alternative proof of the Kulikov-Persson-Pinkham Theorem for a proper Kähler 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. |
| title | Kulikov-Persson-Pinkham theorem via smoothing of dlt models |
| topic | Complex Variables Algebraic Geometry 14E30, 32G13, 14J10, 14B05 |
| url | https://arxiv.org/abs/2503.20669 |