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Moduli spaces of framed logarithmic and parabolic connections on a Riemann surface (2504.00931v1)

Published 1 Apr 2025 in math.AG

Abstract: We construct moduli spaces of framed logarithmic connections and also moduli spaces of framed parabolic connections. It is shown that these moduli spaces possess a natural algebraic symplectic structure. We also give an upper bound of the transcendence degree of the algebra of regular functions on the moduli space of parabolic connections.

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