Geodesic
Tame class field theory for singular varieties over finite fields
Journal of the European Mathematical Society, Tome 19 (2017) no. 11, pp. 3467-3488.

Voir la notice de l'article provenant de la source EMS Press

Schmidt and Spieß described the abelian tame fundamental group of a smooth variety over a finite field by using Suslin homology. In this paper we show that their result generalizes to singular varieties if one uses Weil–Suslin homology instead.
DOI : 10.4171/jems/744
Classification : 19-XX, 11-XX, 14-XX
Keywords: Class field theory, Suslin homology, Weil-etale cohomology 
@article{JEMS_2017_19_11_a5,
     author = {Thomas Geisser and Alexander Schmidt},
     title = {Tame class field theory for singular varieties over finite fields},
     journal = {Journal of the European Mathematical Society},
     pages = {3467--3488},
     publisher = {mathdoc},
     volume = {19},
     number = {11},
     year = {2017},
     doi = {10.4171/jems/744},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/744/}
}
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Thomas Geisser; Alexander Schmidt. Tame class field theory for singular varieties over finite fields. Journal of the European Mathematical Society, Tome 19 (2017) no. 11, pp. 3467-3488. doi : 10.4171/jems/744. http://geodesic.mathdoc.fr/articles/10.4171/jems/744/

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