Refined ramification breaks in characteristic $p$

التفاصيل البيبلوغرافية
العنوان: Refined ramification breaks in characteristic $p$
المؤلفون: Elder, G. Griffith, Keating, Kevin
سنة النشر: 2018
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Number Theory, 11S15
الوصف: Let $K$ be a local field of characteristic $p$ and let $L/K$ be a totally ramified elementary abelian $p$-extension with a single ramification break $b$. Byott and Elder defined the refined ramification breaks of $L/K$, an extension of the usual ramification data. In this paper we give an alternative definition for the refined ramification breaks, and we use Artin-Schreier theory to compute both versions of the breaks in some special cases.
Comment: 26 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1812.11660
رقم الأكسشن: edsarx.1812.11660
قاعدة البيانات: arXiv