Cancellation theorems for reciprocity sheaves

Abstract

We prove cancellation theorems for reciprocity sheaves and cube-invariant modulus sheaves with transfers of Kahn--Saito--Yamazaki, generalizing Voevodsky's cancellation theorem for ${\mathbf{A}}^1$-invariant sheaves with transfers. As an application, we get some new formulas for internal hom's of the sheaves ${\Omega }^i$ of absolute Kähler differentials.

68 pages, minor changes. To appear in Algebraic Geometry

Cited by in corpus (2)

• Ramification theory of reciprocity sheaves, I, Zariski-Nagata purity
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