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PreprintarXiv licencearXiv

The number of Ekedahl-Oort strata intersecting the supersingular locus in the Siegel modular variety

  • Ryosuke Shimada
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Abstract

Let Ng be the number of Ekedahl-Oort strata intersecting the supersingular locus in the Siegel modular variety. We prove that Ng∼ 2g−1 as g→∞.

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Cite

BibTeXRIS
BibTeX
@misc{shimada2026number,
  title = {{The number of Ekedahl-Oort strata intersecting the supersingular locus in the Siegel modular variety}},
  author = {Ryosuke Shimada},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.27198},
  eprint = {2609.27198},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.27198},
}
RIS
TY  - UNPB
TI  - The number of Ekedahl-Oort strata intersecting the supersingular locus in the Siegel modular variety
AU  - Ryosuke Shimada
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.27198
UR  - https://arxiv.org/abs/2609.27198
AB  - Let N_g be the number of Ekedahl-Oort strata intersecting the supersingular locus in the Siegel modular variety. We prove that N_g∼ 2^g−1 as g→∞.
ER  -