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Pointed harmonic volume and its relation to the extended Johnson homomorphism
Yuuki Tadokoro
The period for a compact Riemann surface, defined by the integral of differential 1-forms, is a classical complex analytic invariant, strongly related to the complex structure of t…
Harmonic volume and its applications
Yuuki Tadokoro
The period is a classical complex analytic invariant for a compact Riemann surface defined by integration of differential 1-forms. It has a strong relationship with the complex str…
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.
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.