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arXiv · 0912.1168

Suslin's singular homology and cohomology

Thomas H. Geisser
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Abstract

We discuss Suslin's singular homology and cohomology. In the first half we examine the p-part in characteristic p, and the situation over non-algebraically closed fields. In the second half we focus on finite base fields. We study finite generation properties, and give a modified definition which behaves like a homology theory: in degree zero it is a copy of Z for each connected component, in degree one it is related to the abelianized (tame) fundamental group, even for singular schemes, and it is expected to be finitely generated in general.

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Thomas H. Geisser. 2009-12-07. Suslin's singular homology and cohomology. https://arxiv.org/abs/0912.1168

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