Articles written in Proceedings – Mathematical Sciences

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


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      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).

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