Yusuke Nemoto

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math.AG2026

Construction of higher Chow cycles on cyclic coverings of $P^{1} \times P^{1}$ , Part II

Yusuke Nemoto, Ken Sato

In this paper, we construct higher Chow cycles of type $(2, 1)$ on a family of surfaces related to a product of curves, which are certain degree $N$ abelian covers of $\mathbb{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…

Construction of higher Chow cycles on cyclic coverings of P1×P1, Part II

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

The modified diagonal cycles of Hypergeometric curves

Construction of higher Chow cycles on cyclic coverings of $P^{1} \times P^{1}$ , Part II

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