3 papers
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.AG2025
Corank spectral sequence for locally symmetric varieties
Shouhei Ma
We construct a new type of spectral sequences for the mixed Hodge structures on the cohomology of locally symmetric varieties. These spectral sequences converge to the edge compone…
math.AG2024
Siegel operators for holomorphic differential forms
Shouhei Ma
We give a geometric interpretation of the Siegel operators for holomorphic differential forms on Siegel modular varieties. This involves extension of the differential forms over a…