Cycles in the universal moduli stack of bundles of rank two over genus two curves

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1. Verfasser: Saha, Shubham
Format: Preprint
Veröffentlicht: 2026
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author Saha, Shubham
author_facet Saha, Shubham
contents We present a conjecture for the Chow ring of the universal moduli stack of bundles over hyperelliptic curves and prove it for rank and genus two. Consequently, we obtain explicit generators and relations to conclude that the Chow ring is tautological. In addition, we compute the Chow rings of products of universal Jacobians over genus two curves.
format Preprint
id arxiv_https___arxiv_org_abs_2604_11958
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Cycles in the universal moduli stack of bundles of rank two over genus two curves
Saha, Shubham
Algebraic Geometry
14C17, 14D20, 14H45
We present a conjecture for the Chow ring of the universal moduli stack of bundles over hyperelliptic curves and prove it for rank and genus two. Consequently, we obtain explicit generators and relations to conclude that the Chow ring is tautological. In addition, we compute the Chow rings of products of universal Jacobians over genus two curves.
title Cycles in the universal moduli stack of bundles of rank two over genus two curves
topic Algebraic Geometry
14C17, 14D20, 14H45
url https://arxiv.org/abs/2604.11958