3 papers
math.AG2026
Degeneration of Calabi-Yau threefolds with Galois action induced by modular form of weight 3
Marcin Oczko
We study a one-parameter family of double octic Calabi-Yau threefolds with two degenerations of type . For each of these degenerations we construct a semistable model and comput…
math.AG2024
Semistable degenerations of double octics
Marcin Oczko
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 diag…
math.AG2023
Counterexample to Néron-Ogg-Shafarevich criterion for Calabi-Yau threefolds
Tymoteusz Chmiel, Marcin Oczko
For any prime we construct a Calabi-Yau threefold defined over a finite extension of such that every model of over $\operatorname{Spec}\mathcal{O}_…