Tautological systems and free divisors
Algebraic Geometry
2022-12-02 v4
Abstract
We introduce tautological system defined by prehomogenous actions of reductive algebraic groups. If the complement of the open orbit is a linear free divisor satisfying a certain finiteness condition, we show that these systems underly mixed Hodge modules. A dimensional reduction is considered and gives rise to one-dimensional differential systems generalizing the quantum differential equation of projective spaces.
Keywords
Cite
@article{arxiv.1805.02101,
title = {Tautological systems and free divisors},
author = {Luis Narváez Macarro and Christian Sevenheck},
journal= {arXiv preprint arXiv:1805.02101},
year = {2022}
}