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math.AG2025
On the supersingular locus of the Siegel modular variety of genus 3 or 4
Ryosuke Shimada, Teppei Takamatsu
We study the supersingular locus of the Siegel modular variety of genus 3 or 4. More concretely, we decompose the supersingular locus into a disjoint union of the product of a Deli…
math.AG2024
On the Supersingular Locus of the Shimura Variety
Ryosuke Shimada
We study the supersingular locus of a reduction at an inert prime of the Shimura variety attached to . More concretely, we decompose the supersingular locus int…