Moduli space of parabolic Λ-modules over a curve

2017/10/05 by Alfaya, David
#14D20 (Primary) 14D22 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.02080

Abstract

Simpson, in 1994, introduced the notion of Λ-modules and constructed the corresponding moduli space, where Λ is a sheaf of rings of differential operators. Higgs bundles, connections and λ-connections (as defined by Delgine) are particular cases of Λ-modules. In this article the concept of parabolic Λ-modules over a curve is introduced and their moduli space is built. As an application, we construct the parabolic Hodge moduli space parameterizing parabolic λ-connections.

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