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arXiv · 1710.02080

Moduli space of parabolic $\Lambda$-modules over a curve

David Alfaya
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Abstract

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

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David Alfaya. 2017-10-05. Moduli space of parabolic $\Lambda$-modules over a curve. https://arxiv.org/abs/1710.02080

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