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math.GT2005
The pointed harmonic volumes of hyperelliptic curves with Weierstrass base points
Yuuki Tadokoro
We give a explicit computation of the pointed harmonic volumes of hyperelliptic curves with Weierstrass base points, which are paraphrased into a combinatorial formula.
math.GT2005
The Harmonic Volumes of Hyperelliptic Curves
Yuuki Tadokoro
We determine the harmonic volumes for all the hyperelliptic curves. This gives a geometric interpretation of a theorem established by A. Tanaka.