38 citations · 109 across the 44 of their papers we have counts for
42 papers · 1 filter
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…
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,…
Borcherds products approximating Gersten complex
Shouhei Ma
For an orthogonal modular variety, we construct a complex which is defined in terms of lattices and elliptic modular forms, which resembles the Gersten complex in Milnor K-theory,…
Siegel modular forms arising from higher Chow cycles
Shouhei Ma
We prove that the infinitesimal invariant of a higher Chow cycle of type (2,3-g) on a generic abelian variety of dimension g<4 gives rise to a meromorphic Siegel modular form of (v…
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…