Geisser, Thomas

On Suslin's singular homology and cohomology

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


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


Suslin homology, motivic homology, algebraic cycles, Albanese map