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arXiv · 2509.06764

Rational Chow ring of the universal moduli space of semistable rank two bundles over genus two curves

Shubham Saha
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Abstract

We determine the rational Chow ring of the universal moduli space of rank $2$ semistable bundles over smooth curves of genus $2$, and show that it is generated by certain tautological classes. In the process, we obtain Chow rings of universal Jacobians over genus $2$ curves with marked Weierstrass points, and the Chow ring of the universal pointed Jacobian. This further provides alternate computations to arxiv:2404.12607 in the genus $2$ case.

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Shubham Saha. 2025-09-08. Rational Chow ring of the universal moduli space of semistable rank two bundles over genus two curves. https://arxiv.org/abs/2509.06764

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