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arXiv · 2007.06067

Motivic decompositions of moduli spaces of vector bundles on curves

Tomás L. Gómez·Kyoung-Seog Lee
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Abstract

Let $r \geq 2, d$ be two integers which are coprime to each other. Let $C$ be a smooth projective curve of genus $g \geq 2$ and $M(r,L)$ be the moduli space of rank $r$ stable vector bundles on $C$ whose determinants are isomorphic to a fixed line bundle $L$ of degree $d$ on $C.$ In this paper, we study motivic decomposition of $M(r,L)$ for $r=2, 3$ cases. We give a new proof of a version of the main result of arXiv:1806.11101. We also found a new motivic decomposition of $M(3,L).$

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Tomás L. Gómez, Kyoung-Seog Lee. 2020-07-12. Motivic decompositions of moduli spaces of vector bundles on curves. https://arxiv.org/abs/2007.06067

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