Suslin's moving lemma with modulus

Abstract

The moving lemma of Suslin states that a cycle on $X\times {\mathbb{A}}^n$ meeting all faces properly can be moved so that it becomes equidimensional over ${\mathbb{A}}^n$. This leads to an isomorphism of motivic Borel-Moore homology and higher Chow groups. In this short paper we formulate and prove a variant of this. It leads to an isomorphism of Suslin homology with modulus and higher Chow groups with modulus, in an appropriate pro setting.

13 pages

References in corpus (1)

• Motives with modulus

Cited by in corpus (1)

• Tensor structures in the theory of modulus presheaves with transfers