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arXiv · 1604.04356

Suslin's moving lemma with modulus

Wataru Kai·Hiroyasu Miyazaki
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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.

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Wataru Kai, Hiroyasu Miyazaki. 2016-04-15. Suslin's moving lemma with modulus. https://doi.org/10.2140/akt.2018.3.55

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