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On the Chow group of Moduli of parabolic connections (2509.24504v1)

Published 29 Sep 2025 in math.AG

Abstract: We consider the moduli space of parabolic connections with rational generic weights over a compact Riemann surface of genus $g \geq 3$. We determine the Chow group of the moduli space of parabolic connections such that the underlying parabolic bundle is stable. We also discuss the rationality and rationally connectedness of the moduli space of parabolic connections.

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