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 BorelMoore 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.
 Publication:

arXiv eprints
 Pub Date:
 April 2016
 DOI:
 10.48550/arXiv.1604.04356
 arXiv:
 arXiv:1604.04356
 Bibcode:
 2016arXiv160404356K
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  KTheory and Homology;
 Mathematics  Number Theory;
 14F43 (Primary);
 14C15;
 14C25;
 14F42;
 19E15 (Secondary)
 EPrint:
 13 pages