Yusuke Nemoto

collaborators

3 papers

math.NT2025

Regulators on some abelian coverings of $P^{1}$ minus $n + 2$ points

Yusuke Nemoto, Takuya Yamauchi

In this paper, we construct certain rational or integral elements in the motivic cohomology of superelliptic curves which are quotient curves of abelian coverings of $P^{1}$ …

math.AG2025

Construction of Higher Chow cycles on cyclic coverings of $P^{1} \times P^{1}$

Yusuke Nemoto, Ken Sato

In this paper, we construct higher Chow cycles of type $(2, 1)$ on a certain family of surfaces, which are constructed by a product of certain hypergeometric curves of degree $N$ .…

math.AG2025

The modified diagonal cycles of Hypergeometric curves

Payman Eskandari, Yusuke Nemoto

For each $N \geq 2$ , Asakura and Otsubo have recently introduced a smooth family of algebraic curves ${X_{N, λ}}_{λ \in P^{1} ∖ {0, 1, \infty}}$ in characteristic 0…

Regulators on some abelian coverings of P1 minus n+2 points

Construction of Higher Chow cycles on cyclic coverings of P1×P1

The modified diagonal cycles of Hypergeometric curves

Regulators on some abelian coverings of $P^{1}$ minus $n + 2$ points

Construction of Higher Chow cycles on cyclic coverings of $P^{1} \times P^{1}$