Monodromies of Algebraic Connections on the Trivial Bundle

Details Monodromies of Algebraic Connections on the Trivial Bundle Monodromies of Algebraic Connections on the Trivial Bundle

2000-06-25

arxiv.org/abs/math/0006188v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

10.1016/S0764-4442(00)01696-7

In this note, we study monodromies of algebraic connections on the trivial
vector bundle. We prove that on a smooth complex affine curve, any monodromy
arises as the underlying local system of an algebraic connection on the trivial
bundle. We give a generalization of this for rank one monodromies in higher
dimension.

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