Rigidity theorem for presheaves with Witt-transfers

2017/04/12 by Druzhinin, Andrei
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.03784

Abstract

The rigidity theorem for homotopy invariant presheaves with Witt-transfers on the category of smooth affine varieties over a field k with characteristic not equal to 2 is proved. Namely for such a presheaf \mathcal F the isomorphism \mathcal F(U)≃ \mathcal F(x) where U is henseliation of a variety at smooth closed point with separable residue field (over k) is proved. The rigidity for presheaves Wⁱ(X× -) where X is smooth variety and Wⁱ(-) are derived Witt-groups (i∈ \mathbb Z/4\mathbb Z) follows as corollary.

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