Author

Yota Maeda

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Preprint Sep 2026

On the singularities and the Kodaira dimension of unitary Shimura varieties

We study the geometry of Shimura varieties associated with a Hermitian form of signature $(p,q)$ over an imaginary quadratic field $E$, where $2\leq p\leq q$. We prove that when $p\geq w_E$ and $(p,q)\neq(2,2),(2,3)$, where $w_E:=\#\mathscr{O}_E^\times$, there exists a toroidal compactification with at worst canonical...

Shuji Horinaga, Yota Maeda · 0 citations

Preprint Oct 2026

K-Moduli Wall Crossing and Automorphic Forms for the Moduli Space of Rational Elliptic Surfaces

Using K-moduli spaces for log quasimaps $q_t\colon\left(\mathbb P^1,\frac{1-t}{12}D\right)\to[\mathbb A^2/\mathbb G_m]$ of degree twelve with twelve points and weight $t/12$, we construct a modular interpolation $\{\mathcal M_t\}_{0\le t\le1}$ between the Baily--Borel compactification of the Heckman--Looijenga ball quo...

Masafumi Hattori, Yota Maeda · 0 citations