On the monodromy of the Hitchin connection

Mathematics – Algebraic Geometry

Scientific paper

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20 pages, revised version

Scientific paper

For any genus g > 1 we give an example of a family of smooth complex
projective curves of genus g such that the image of the monodromy
representation of the Hitchin connection on the sheaf of generalized
SL(2)-theta functions of level l different from 1,2,4 and 8 contains an element
of infinite order.

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