تقرير
On the asymptotics of elementary-abelian extensions of local and global function fields
| العنوان: | On the asymptotics of elementary-abelian extensions of local and global function fields |
|---|---|
| المؤلفون: | Potthast, Nicolas |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11R45 (Primary) 11R37, 11S31 (Secondary) |
| الوصف: | We determine the distribution of discriminants of wildly ramified elementary-abelian extensions of local and global function fields in characteristic $p$. For local and rational function fields, we also give precise formulae for the number of elementary-abelian extensions with a fixed discriminant divisor, which describe a local-global principle. Comment: 47 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.16394 |
| رقم الأكسشن: | edsarx.2408.16394 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |