Alexander Schmidt, Michael Spieß:

Singular homology and class field theory of varieties over finite fields

       Authors: Alexander Schmidt, Michael Spieß
       Title: Singular homology and class field theory of varieties over finite fields
       Year: 1999
       Pages: 25
       In: J. reine u. angew. Math. 527 (2000) 13-36

         Preprint dvi file  sing.dvi



      Abstract: In this paper we show that the tamely ramified abelian coverings of smooth, quasiprojective varieties over finite fields can be described in terms of their 0th singular (Suslin) homology. This extends the unramified class field theory of Kato and Saito for smooth, projective varieties over finite fields to the quasiprojective case.

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