1 citations · 2 across the 9 of their papers we have counts for
9 papers
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…
Nonlinear sigma model in discrete complex analysis
Masaru Kamata, Masayoshi Sekiguchi, Yuuki Tadokoro
We present a discrete version of the two-dimensional nonlinear sigma model examined by Belavin and Polyakov. We formulate it by means of Mercat's discrete complex analysis a…
The period matrix of the hyperelliptic curve
Yuuki Tadokoro
A geometric algorithm is introduced for finding a symplectic basis of the first integral homology group of a compact Riemann surface, which is a -cyclic covering of ${\mathbb C}…
Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves
Yuuki Tadokoro
We obtain the trace map image of the values of certain harmonic volumes for some quotients of Fermat curves. This provides the algorithm that the algebraic cycles called by the k-t…
A nontrivial algebraic cycle in the Jacobian variety of the Fermat sextic
Yuuki Tadokoro
We compute some value of the harmonic volume for the Fermat sextic. Using this computation, we prove that some special algebraic cycle in the Jacobian variety of the Fermat sextic…