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20052017
most citedNontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves

1 citations · 2 across the 9 of their papers we have counts for

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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.AG2005

A nontrivial algebraic cycle in the Jacobian variety of the Klein quartic

Yuuki Tadokoro

We prove some value of the harmonic volume for the Klein quartic is nonzero modulo ${1/2}\{mathbb Z}$, using special values of the generalized hypergeometric function …

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.