Ryosuke Shimada

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math.AG2026

Some generalizations of Oort's conjecture

Ryosuke Shimada, Teppei Takamatsu

For a prime $p \geq 5$ , let $S_{g}$ be the moduli space over $F_{p}$ of $g$ -dimensional principally polarized supersingular abelian varieties. We show that e…

math.AG2024

On the Supersingular Locus of the $GU (2, n - 2)$ Shimura Variety

Ryosuke Shimada

We study the supersingular locus of a reduction at an inert prime of the Shimura variety attached to $GU (2, n - 2)$ . More concretely, we decompose the supersingular locus int…

Some generalizations of Oort's conjecture

On the Supersingular Locus of the GU(2,n−2) Shimura Variety

On the Supersingular Locus of the $GU (2, n - 2)$ Shimura Variety