On Stringy E-functions and the Non-negativity Conjecture for Determinantal Varieties
Algebraic Geometry
2025-04-02 v1
Abstract
We compute the stringy E-functions of determinantal varieties and establish that the stringy E-function of a determinantal variety coincides with the E-function of the product of a Grassmannian and an affine space. Furthermore, a similar result holds for the projectivization of determinantal varieties. As an application, we verify the non-negativity conjecture for the stringy Hodge numbers of these varieties.
Cite
@article{arxiv.2504.00312,
title = {On Stringy E-functions and the Non-negativity Conjecture for Determinantal Varieties},
author = {Yifan Chen and Huaiqing Zuo},
journal= {arXiv preprint arXiv:2504.00312},
year = {2025}
}