4 papers
Square-integrability of holomorphic differential forms on locally symmetric varieties
Shouhei Ma
We prove that every holomorphic differential form of non-top degree on a locally symmetric variety with Baily-Borel boundary of codimension greater than 1 is square-integrable with…
Holomorphic differential forms on some orthogonal modular varieties
Shuji Horinaga, Shouhei Ma
We construct holomorphic differential forms of many degrees, including the minimum possible one, on the modular varieties associated to the even lattices of signature with…
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…
Vector-valued orthogonal modular forms
Shouhei Ma
This monograph is devoted to the theory of vector-valued modular forms for orthogonal groups of signature (2,n). Our purpose is multi-layered: (1) to lay a foundation of the theory…