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arXiv · 1907.13431

Chow Group of 1-cycles of the Moduli of Parabolic Bundles Over a Curve

Sujoy Chakraborty
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Abstract

We study the Chow group of 1-cycles of the moduli space of semistable parabolic vector bundles of fixed rank, determinant and a generic weight over a nonsingular projective curve over $\mathbb{C}$ of genus at least 3. We show that, the Chow group of 1-cycles remains isomorphic as we vary the generic weight. As a consequence, we can give an explicit description of the Chow group in the case of rank 2 and determinant $\mathcal{O}(x)$, where $x\in X$ is a fixed point.

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Sujoy Chakraborty. 2019-07-31. Chow Group of 1-cycles of the Moduli of Parabolic Bundles Over a Curve. https://arxiv.org/abs/1907.13431

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