Ken Sato

collaborators

2 papers

math.AG2025

Notes on symplectic action on $(2, 1)$ -cycles on $K 3$ surfaces

Ken Sato

In this paper, we propose and study a conjecture that symplectic automorphisms of a $K 3$ surface $X$ act trivially on the indecomposable part $\mathrm{CH}^2(X,1)_{\mathrm{ind}}\oti…

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 $N$ .…

Notes on symplectic action on (2,1)-cycles on K3 surfaces

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

Notes on symplectic action on $(2, 1)$ -cycles on $K 3$ surfaces

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