Semistable degenerations of double octics
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2024
- DOI:
- 10.48550/arXiv.2410.00553
- arXiv:
- arXiv:2410.00553
- Bibcode:
- 2024arXiv241000553O
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 43 pages, comments welcome!