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

preprint2015arXivOpen access

We investigate the K( $π$ ,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( $π$ ,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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The K( $π$ ,1)-property for marked curves over finite fields

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The K(πππ,1)-property for marked curves over finite fields

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