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math.AG2026
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,…
math.AG2026
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…