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arxiv: 1003.4407 · v4 · pith:ZICVYUSQnew · submitted 2010-03-23 · 🧮 math.AG

On the monodromy of the Hitchin connection

classification 🧮 math.AG
keywords connectiongenushitchinmonodromycomplexcontainscurvesdifferent
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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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