Geisser, Thomas

On Suslin's singular homology and cohomology

Doc. Math. (Bielefeld) Extra Vol. Andrei A. Suslin's Sixtieth Birthday, 223-249 (2010)

Summary

We study properties of Suslin homology and cohomology over non-algebraically closed base fields, and their $p$-part in characteristic $p$. In the second half we focus on finite fields, and consider finite generation questions and connections to tamely ramified class field theory.

Mathematics Subject Classification

19E15, 14F42, 14G15

Keywords/Phrases

Suslin homology, motivic homology, algebraic cycles, Albanese map

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