English

An introduction to higher dimensional local fields and adeles

Algebraic Geometry 2012-08-03 v2 Commutative Algebra Number Theory

Abstract

These notes are an introduction to higher dimensional local fields and higher dimensional adeles. As well as the foundational theory, we summarise the theory of topologies on higher dimensional local fields and higher dimensional local class field theory.

Keywords

Cite

@article{arxiv.1204.0586,
  title  = {An introduction to higher dimensional local fields and adeles},
  author = {Matthew Morrow},
  journal= {arXiv preprint arXiv:1204.0586},
  year   = {2012}
}

Comments

These notes supersede previous introductory texts on the subject by the author

R2 v1 2026-06-21T20:43:48.985Z