3 papers
math.AG2026
Shifting local exponents of Picard-Fuchs operators
Tymoteusz Chmiel
We investigate the operation of shifting local exponents and study its effects on the monodromy representation of a one-parameter family of Calabi-Yau threefolds. The main result i…
math.AG2024
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}_…
math.AG2024
Orphan Calabi-Yau threefold with arithmetic monodromy group
Tymoteusz Chmiel
We study monodromy groups of Picard-Fuchs operators of one-parameter families of Calabi-Yau threefolds without a point of Maximal Unipotent Monodromy (\emph{orphan operators}). We…