Intersection Theory of Hyperquot Schemes on curves

Fuente: arXiv
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Hauptverfasser: Ontani, Riccardo, Sinha, Shubham, Xu, Weihong
Format: Preprint
Veröffentlicht: 2025
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author Ontani, Riccardo
Sinha, Shubham
Xu, Weihong
author_facet Ontani, Riccardo
Sinha, Shubham
Xu, Weihong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_00578
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Intersection Theory of Hyperquot Schemes on curves
Ontani, Riccardo
Sinha, Shubham
Xu, Weihong
Algebraic Geometry
14N35, 14H60 (Primary) 14M15, 53D45, 14N10 (Secondary)
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.
title Intersection Theory of Hyperquot Schemes on curves
topic Algebraic Geometry
14N35, 14H60 (Primary) 14M15, 53D45, 14N10 (Secondary)
url https://arxiv.org/abs/2512.00578