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arXiv · 1401.1979

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

Philippe Lebacque·Alexander Schmidt
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Abstract

We investigate the K($\pi$,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($\pi$,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.

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Philippe Lebacque, Alexander Schmidt. 2014-01-09. The K($\pi$,1)-property for marked curves over finite fields. https://arxiv.org/abs/1401.1979

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