English

Geometric Class Field Theory

Algebraic Geometry 2015-07-02 v1

Abstract

In this paper we prove global class field theory using a purely geometric result. We first write in detail Deligne's proof to the unramified case of class field theory, including defining the required objects for the proof. Then we generalize the notions appearing in the proof to prove also the tamely ramified case relying on the unramified one.

Keywords

Cite

@article{arxiv.1507.00104,
  title  = {Geometric Class Field Theory},
  author = {Avichai Tendler},
  journal= {arXiv preprint arXiv:1507.00104},
  year   = {2015}
}

Comments

Master thesis, 42 pages

R2 v1 2026-06-22T10:03:31.002Z