Shifting local exponents of Picard-Fuchs operators
Algebraic Geometry
2026-03-25 v1
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.
Keywords
Cite
@article{arxiv.2603.22614,
title = {Shifting local exponents of Picard-Fuchs operators},
author = {Tymoteusz Chmiel},
journal= {arXiv preprint arXiv:2603.22614},
year = {2026}
}