Intersection Theory of Hyperquot Schemes on curves
Algebraic Geometry
2025-12-02 v1
Abstract
We study the virtual intersection theory of Hyperquot schemes parameterizing sequences of quotient sheaves of a vector bundle on a smooth projective curve. Our results generalize the Vafa--Intriligator formula for Quot schemes and provide a closed formula for virtual counts of maps from the curve to a partial flag variety.
Cite
@article{arxiv.2512.00578,
title = {Intersection Theory of Hyperquot Schemes on curves},
author = {Riccardo Ontani and Shubham Sinha and Weihong Xu},
journal= {arXiv preprint arXiv:2512.00578},
year = {2025}
}
Comments
49 pages