6 papers · 1 filter
Higher Chow cycles, cyclic cubic fourfolds and Lagrangian subvarieties
Shouhei Ma, Ken Sato
In this paper we initiate the study of higher Chow cycles on holomorphic symplectic manifolds. Our concrete central result is construction of explicit indecomposable (2,1)- and (4,…
Construction of higher Chow cycles on cyclic coverings of , Part II
Yusuke Nemoto, Ken Sato
In this paper, we construct higher Chow cycles of type on a family of surfaces related to a product of curves, which are certain degree abelian covers of $\mathbb{P}^1…
Higher Chow cycles on some K3 surfaces with involution
Shouhei Ma, Ken Sato
We construct, for each 2<r<18, an explicit family of higher Chow cycles of type (2,1) on a family of lattice-polarized K3 surfaces of generic Picard rank r, and prove that the inde…
Higher Chow cycles on Eisenstein K3 surfaces
Ken Sato
We construct higher Chow cycles of type (2,1) on some families of K3 surfaces with non-symplectic automorphisms of order 3 and prove that our cycles are indecomposable for very gen…
Higher Chow cycles on K3 surfaces attached to plane quartics
Ken Sato
In this paper, we give an explicit construction of higher Chow cycles of type on surfaces obtained as quadruple coverings of the projective plane ramified along smooth…
Higher Chow cycles on a family of Kummer surfaces
Ken Sato
We construct a collection of families of higher Chow cycles of type on a 2-dimensional family of Kummer surfaces, and prove that for a very general member, they generate a…