تقرير
Supersingular Ekedahl-Oort strata and Oort's conjecture
| العنوان: | Supersingular Ekedahl-Oort strata and Oort's conjecture |
|---|---|
| المؤلفون: | Karemaker, Valentijn, Yu, Chia-Fu |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - Algebraic Geometry, 14K10 (14K15, 11G10, 51A50) |
| الوصف: | Let $\mathcal{A}_g$ be the moduli space over $\overline{\mathbb{F}}_p$ of $g$-dimensional principally polarised abelian varieties, where $p$ is a prime. We show that if $g$ is even and $p\geq 5$, then every geometric generic member in the maximal supersingular Ekedahl-Oort stratum in $\mathcal{A}_g$ has automorphism group $\{ \pm 1\}$. This confirms Oort's conjecture in the case of $p\geq 5$ and even $g$. Comment: 31 pages |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2406.19748Test |
| رقم الانضمام: | edsarx.2406.19748 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |