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

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arxiv 2403.19505 v2 pith:2TJH5ERP submitted 2024-03-28 math.AG math.NT

classification math.AGmath.NT
keywords locussupersingularvarietygenusmodularsiegelaffineconcretely
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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.

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