Suslin Homology

(Algebraic Geometry)


Algebraic Geometry
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What is Suslin homology?

In mathematics, the Suslin homology is a homology theory attached to algebraic varieties. It was proposed by Suslin in 1987, and developed by Suslin and Voevodsky . It is sometimes called singular homology as it is analogous to the singular homology of topological spaces. By definition, given an abelian group A and a scheme X of finite type over a field k, the theory is given by where C is a free graded abelian group whose degree n part is generated by integral subschemes of , where is an n-simplex, that are finite and surjective over .

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