On the supersingular locus of the Siegel modular variety of genus 3 or 4
arXiv:2403.19505
Abstract
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 Deligne-Lusztig variety of Coxeter type and a finite-dimensional affine space after taking perfection.
22 pages. To appear in Ann. Inst. Fourier (Grenoble)