English

Radical parallelism on projective lines and non-linear models of affine spaces

Algebraic Geometry 2013-04-02 v1

Abstract

We introduce and investigate an equivalence relation called "radical parallelism" on the projective line over a ring. It is closely related with the Jacobson radical of the underlying ring. As an application, we present a rather general approach to non-linear models of affine spaces and discuss some particular examples.

Keywords

Cite

@article{arxiv.1304.0181,
  title  = {Radical parallelism on projective lines and non-linear models of affine spaces},
  author = {Andrea Blunck and Hans Havlicek},
  journal= {arXiv preprint arXiv:1304.0181},
  year   = {2013}
}