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arXiv · 1805.02101

Tautological systems and free divisors

Luis Narváez Macarro·Christian Sevenheck
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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.

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Luis Narváez Macarro, Christian Sevenheck. 2018-05-05. Tautological systems and free divisors. https://doi.org/10.1016/j.aim.2019.06.007

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