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Bibliographic Details
Main Author: Oczko, Marcin
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2410.00553
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Table of 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.