Thin monodromy in O(5)
Group Theory
2023-07-18 v2
Abstract
This article studies the orthogonal hypergeometric groups of degree five. We establish the thinness of 12 out of the 19 hypergeometric groups of type O(3,2) from [4, Table 6]. Some of these examples are associated with Calabi-Yau 4-folds. We also establish the thinness of 9 out of the 17 hypergeometric groups of type O(4,1) from [12], where the thinness of 7 other cases was already proven. The O(4,1) type groups were predicted to be all thin and our result leaves just one case open.
Cite
@article{arxiv.2204.11770,
title = {Thin monodromy in O(5)},
author = {Jitendra Bajpai and Martin Nitsche},
journal= {arXiv preprint arXiv:2204.11770},
year = {2023}
}
Comments
v2: new results about hypergeometric groups of type O(4,1) have been added