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

Fuente: arXiv
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Main Authors: Shimada, Ryosuke, Takamatsu, Teppei
Format: Preprint
Published: 2024
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author Shimada, Ryosuke
Takamatsu, Teppei
author_facet Shimada, Ryosuke
Takamatsu, Teppei
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_19505
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the supersingular locus of the Siegel modular variety of genus 3 or 4
Shimada, Ryosuke
Takamatsu, Teppei
Algebraic Geometry
Number Theory
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.
title On the supersingular locus of the Siegel modular variety of genus 3 or 4
topic Algebraic Geometry
Number Theory
url https://arxiv.org/abs/2403.19505