• Chow group of 1-cycles of the moduli of parabolic bundles over a curve

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/131/0022

• # Keywords

Chow groups; moduli space; parabolic bundle.

• # 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 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, wecan give an explicit description of the Chow group in the case of rank 2 and determinant $\mathscr{O}(x)$, where $x \in X$ is a fixed point, which extends the earlier result of Choe and Hwang (Math. Z. 253 (2006) 253--281, Main theorem).

• # Author Affiliations

1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400 005, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
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• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019

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