English

The K($\pi$,1)-property for marked curves over finite fields

Number Theory 2015-03-25 v2 Algebraic Geometry

Abstract

We investigate the K(π\pi,1)-property for p of smooth, marked curves (X,T) defined over finite fields of characteristic p. We prove that (X,T) has the K(π\pi,1)-property if X is affine and give positive and negative examples in the proper case. We also consider the unmarked proper case over a finite field of characteristic different to p.

Keywords

Cite

@article{arxiv.1401.1979,
  title  = {The K($\pi$,1)-property for marked curves over finite fields},
  author = {Philippe Lebacque and Alexander Schmidt},
  journal= {arXiv preprint arXiv:1401.1979},
  year   = {2015}
}