9 papers
On the singularities and the Kodaira dimension of unitary Shimura varieties
Shuji Horinaga, Yota Maeda
We study the geometry of Shimura varieties associated with a Hermitian form of signature over an imaginary quadratic field , where . We prove that when $p…
Worst-Case Quantum Algorithm for Optimal Polynomial Intersection Beyond Decoded Quantum Interferometry
Shuji Horinaga, Takashi Yamakawa
The Optimal Polynomial Intersection (OPI) problem asks us to find a low-degree polynomial over a finite field whose values lie in prescribed subsets on as many given inputs as poss…
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…
The Kodaira dimension of even-dimensional ball quotients
Shuji Horinaga, Yota Maeda, Takuya Yamauchi
We prove that, up to scaling, there exist only finitely many isometry classes of Hermitian lattices over of signature that admit ball quotients of non-gener…
On -parameters containing unitary lowest weight representations of
Shuji Horinaga
In this paper, we determine all the Arthur packets containing an irreducible unitary lowest weight representation of real unitary group , including non-sc…
Cuspidal components of Siegel modular forms for large discrete series representations of
Shuji Horinaga, Hiro-aki Narita
In this paper, we consider automorphic forms on which generate large discrete series representations of as $(\mat…