English

Field patching, factorization and local-global principles

Algebraic Geometry 2009-12-15 v2 Rings and Algebras

Abstract

In this paper we first describe the method of field patching, developed by Harbater and Hartmann, paying special attention to the relationship between factorization and local-global principles, and second, we extend the basic factorization result previously known for rational groups to the case of retract rational groups.

Cite

@article{arxiv.0909.3115,
  title  = {Field patching, factorization and local-global principles},
  author = {Daniel Krashen},
  journal= {arXiv preprint arXiv:0909.3115},
  year   = {2009}
}

Comments

31 pages

R2 v1 2026-06-21T13:47:19.836Z