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arXiv:1401.1979 [math.NT]Abstract References Reviews Resources

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

Published 2014-01-09, updated 2015-03-24Version 2

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.

DOI: 10.1070/IM2015v079n05ABEH002770

Categories: math.NT, math.AG

Keywords: finite field, marked curves, characteristic, unmarked proper case

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