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Explicit Mumford isomorphism for hyperelliptic curves

Robin de Jong
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Abstract

Using an explicit version of the Mumford isomorphism on the moduli space of hyperelliptic curves we derive a closed formula for the Arakelov-Green function of a hyperelliptic Riemann surface evaluated at its Weierstrass points.

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Robin de Jong. 2004-08-27. Explicit Mumford isomorphism for hyperelliptic curves. https://arxiv.org/abs/math/0408382

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