On Suslin's Singular Homology and Cohomology

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.

2010 Mathematics Subject Classification: 19E15, 14F42, 14G15

Keywords and Phrases: Suslin homology, motivic homology, algebraic cycles, albanese map

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