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Mathematics > Algebraic Geometry

Title: On the supersingular locus of the Siegel modular variety of genus 3 or 4

Authors: Ryosuke Shimada, Teppei Takamatsu
(Submitted on 28 Mar 2024)
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.
Comments: 20 pages. arXiv admin note: substantial text overlap with arXiv:2402.13216; text overlap with arXiv:2309.03371
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
Cite as: arXiv:2403.19505 [math.AG]
  (or arXiv:2403.19505v1 [math.AG] for this version)

Submission history

From: Ryosuke Shimada [view email]
[v1] Thu, 28 Mar 2024 15:36:56 GMT (17kb)
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