6 citations · 20 across the 8 of their papers we have counts for
8 papers
Finiteness of Free Algebras of Modular Forms on Unitary Groups
Yota Maeda, Kazuma Ohara
Classical results on the classification of reflections in an arithmetic subgroup imply that if the graded algebra of modular forms is freely generated, then must b…
Revisiting the moduli space of 8 points on
Klaus Hulek, Yota Maeda
The moduli space of points on , a so-called ancestral Deligne-Mostow space, is, by work of Kondō, also a moduli space of K3 surfaces. We prove that the Deligne-Mo…
Reflective obstructions of unitary modular varieties
Yota Maeda
To prove that a modular variety is of general type, there are three types of obstructions: reflective, cusp and elliptic obstructions. In this paper, we give a quantitative estimat…
Irregular cusps of ball quotients
Yota Maeda
We study the branch divisors on the boundary of the canonical toroidal compactification of ball quotients. We show a criterion, the low slope cusp form trick, for proving that ball…
Modularity of special cycles on unitary Shimura varieties over CM-fields
Yota Maeda
We study the modularity of the generating series of special cycles on unitary Shimura varieties over CM-fields of degree associated with a Hermitian form in variables wh…
Uniruledness of some low-dimensional ball quotients
Yota Maeda
We define reflective modular forms on complex balls and use a method of Gritsenko and Hulek to show that some ball quotients of dimensions 3, 4 and 5 are uniruled. We give examples…
The singularities and Kodaira dimension of unitary Shimura varieties
Yota Maeda
The Kodaira dimension of Shimura varieties has been studied by many people. Kondo and Gritsenko-Hulek-Sankaran studied the singularities of orthogonal Shimura varieties related to…
The modularity of special cycles on orthogonal Shimura varieties over totally real fields under the Beilinson-Bloch conjecture
Yota Maeda
We study special cycles on a Shimura variety of orthogonal type over a totally real field of degree associated with a quadratic form in variables whose signature is $(n,2…