Constructible Witt theory of schemes

Author:

Onkar Kamlakar Kale, Girja S Tripathi

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), K-Theory and Homology (math.KT)

journal:

date:

2023-07-02 16:00:00

Abstract

We study the constructible Witt theory of \'etale sheaves of $\Lambda$-modules on a scheme $X$ for coefficient rings $\Lambda$ having finite characteristic not equal to 2 and prime to the residue characteristics of the scheme $X$. Our construction is based on the recent advances by Cisinski and Deglise on six-functor formalism for derived categories of \'etale motives and offers a background for the of study of constructible Witt theory as a cohomological invariant for schemes.

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