| Title: |
An approach to intersection theory on singular varieties using motivic complexes |
| Authors: |
Friedlander, Eric M., Ross, Joseph |
| Source: |
Compositio Math. 152 (2016) 2371-2404 |
| Publication Year: |
2013 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - K-Theory and Homology |
| More Details: |
We introduce techniques of Suslin, Voevodsky, and others into the study of singular varieties. Our approach is modeled after Goresky-MacPherson intersection homology. We provide a formulation of perversity cycle spaces leading to perversity homology theory and a companion perversity cohomology theory based upon generalized cocycle spaces. These theories lead to conditions on pairs of cycles which can be intersected and a suitable equivalence relation on cocycles/cycles enabling pairings on equivalence classes. We establish suspension and splitting theorems, as well as a localization property. Some examples of intersections on singular varieties are computed.
Comment: revised version, to appear in Compositio Mathematica |
| Document Type: |
Working Paper |
| DOI: |
10.1112/S0010437X16007697 |
| Access URL: |
http://arxiv.org/abs/1311.5538 |
| Accession Number: |
edsarx.1311.5538 |
| Database: |
arXiv |
