English

Ramification Theory for Artin-Schreier Extensions of Valuation Rings

Number Theory 2015-11-09 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1410.3171,
  title  = {Ramification Theory for Artin-Schreier Extensions of Valuation Rings},
  author = {Vaidehee Thatte},
  journal= {arXiv preprint arXiv:1410.3171},
  year   = {2015}
}

Comments

26 pages. Significant changes to the defect example, re-ordering of sections and some important corrections