Ramification theory for Artin-Schreier extensions of valuation rings

JOURNAL OF ALGEBRA

卷:456

Article

Thatte, Vaidehee¹ 

[1] Univ Chicago, Dept Math, 5734 Univ Ave, Chicago, IL 60637 USA

关键词: Algebraic number theory;    Ramification theory;    Valuation rings;    Artin-Schreier extensions;    Defect;    Refined Swan conductor;    Different ideal;    Logarithmic differential;   

DOI  :  10.1016/j.jalgebra.2016.01.043

来源: Elsevier

【 摘 要 】

The goal of this paper is to generalize and refine the classical ramification theory of complete discrete valuation rings to more general valuation rings, in the case of Artin-Schreier extensions. We define refined versions of invariants of ramification in the classical ramification theory and compare them. Furthermore, we can treat the defect case. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free