Middle multiplicative convolution and hypergeometric equations
Algebraic Geometry
2021-12-30 v2
Abstract
Using a relation due to Katz linking up additive and multiplicative convolutions, we make explicit the behaviour of some Hodge invariants by middle multiplicative convolution, following [DS13] and [Mar18a] in the additive case. Moreover, the main theorem gives a new proof of a result of Fedorov computing the Hodge invariants of hypergeometric equations.
Cite
@article{arxiv.1809.08867,
title = {Middle multiplicative convolution and hypergeometric equations},
author = {Nicolas Martin},
journal= {arXiv preprint arXiv:1809.08867},
year = {2021}
}