English

Augmented Cup Products

Number Theory 2021-05-07 v1

Abstract

In this paper, we present Tate's theory of augmented cup products in profinite cohomology in a modern constructive style. As an application, we interpret pairings between groups associated to curves constructed by Lichtenbaum, in terms of augmented cup products.

Cite

@article{arxiv.2105.02521,
  title  = {Augmented Cup Products},
  author = {Dor Amzaleg},
  journal= {arXiv preprint arXiv:2105.02521},
  year   = {2021}
}

Comments

This paper was submitted as a Master thesis at Ben-Gurion University, under the supervision of Prof. Ido Efrat

R2 v1 2026-06-24T01:49:51.880Z