Semistable degenerations of double octics
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917914276265984 |
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| author | Oczko, Marcin |
| author_facet | Oczko, Marcin |
| contents | We present an algorithm for computing semistable degeneration of double octic Calabi-Yau threefolds. Our method has a combinatorial representation by the means of double octic diagrams. The proposed algorithm is applicable both in classical context over a complex disk as well as in arithmetic setting over a spectrum of DVR. We illustrate algorithm's efficacy through three examples where we compute semistable degeneration and limiting mixed Hodge structure for explicit families of double octics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00553 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Semistable degenerations of double octics Oczko, Marcin Algebraic Geometry We present an algorithm for computing semistable degeneration of double octic Calabi-Yau threefolds. Our method has a combinatorial representation by the means of double octic diagrams. The proposed algorithm is applicable both in classical context over a complex disk as well as in arithmetic setting over a spectrum of DVR. We illustrate algorithm's efficacy through three examples where we compute semistable degeneration and limiting mixed Hodge structure for explicit families of double octics. |
| title | Semistable degenerations of double octics |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2410.00553 |