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math.AG2023
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…
math.AG2023
Mixed Hodge structures and Siegel operators
Shouhei Ma
In this paper we study mixed Hodge structures on the cohomology of locally symmetric varieties and give an application to modular forms. After proving vanishing of some Hodge numbe…
math.AG2023
Differential forms on universal K3 surfaces
Shouhei Ma
We give a vanishing and classification result for holomorphic differential forms on smooth projective models of the moduli spaces of pointed K3 surfaces. We prove that there is no…