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arXiv · 2603.22614

Shifting local exponents of Picard-Fuchs operators

Tymoteusz Chmiel
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Abstract

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 is a characterization of shifts of geometric operators which are also geometric. We use this description to construct some Picard-Fuchs operators with interesting properties.

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Tymoteusz Chmiel. 2026-03-23. Shifting local exponents of Picard-Fuchs operators. https://arxiv.org/abs/2603.22614

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