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arXiv · 2512.00578

Intersection Theory of Hyperquot Schemes on curves

Riccardo Ontani·Shubham Sinha·Weihong Xu
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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.

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Riccardo Ontani, Shubham Sinha, Weihong Xu. 2025-11-29. Intersection Theory of Hyperquot Schemes on curves. https://arxiv.org/abs/2512.00578

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