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arxiv: math/0408382 · v2 · pith:YUUALZFGnew · submitted 2004-08-27 · 🧮 math.AG · math.CV

Explicit Mumford isomorphism for hyperelliptic curves

classification 🧮 math.AG math.CV
keywords hyperellipticcurvesexplicitisomorphismmumfordarakelov-greenclosedderive
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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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