7 papers
K-moduli wall crossing for quasimaps to a projective variety
Masafumi Hattori, Yota Maeda
We develop a modular wall crossing theory for quasimaps to a projective variety, allowing independent variation of the boundary coefficients and the quasimap weight. Building on th…
K-Moduli Wall Crossing and Automorphic Forms for the Moduli Space of Rational Elliptic Surfaces
Masafumi Hattori, Yota Maeda
Using K-moduli spaces for log quasimaps of degree twelve with twelve points and weight , we co…
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…
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…
Remarks on two problems by Hassett
Klaus Hulek, Yota Maeda
One of the ultimate goals of the Hassett-Keel program is the determination of the log canonical models of the moduli spaces of pointed rational curves . In this…
The Universe of Deligne-Mostow Varieties
Klaus Hulek, Yota Maeda
Deligne and Mostow investigated period maps on the configuration spaces of ordered points on . The images of these maps are open subsets of certain ball…
Compactifications of the Eisenstein ancestral Deligne-Mostow variety
Klaus Hulek, Shigeyuki Kondo, Yota Maeda
All arithmetic non-compact ball quotients by Deligne-Mostow's unitary monodromy group arise as sub-ball quotients of either of two spaces called ancestral cases, corresponding to G…