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arXiv · 1503.06781

Introduction to moduli spaces of connections: some explicit constructions

Frank Loray
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Abstract

We give some concrete examples of moduli spaces of connections. Precisely, we explain how to explicitly construct the moduli spaces of rank 2 fuchsian systems and logarithmic connections on the Riemann sphere with 4 poles. The former ones are affine cubic surfaces; the latter ones are analytically isomorphic to affine surfaces but not algebraically: they do not carry non constant regular functions. We end with some remark on arbitrary number of poles.

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Frank Loray. 2015-03-20. Introduction to moduli spaces of connections: some explicit constructions. https://arxiv.org/abs/1503.06781

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