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An approach to intersection theory on singular varieties using motivic complexes.
- Source :
-
Compositio Mathematica . Nov2016, Vol. 152 Issue 11, p2371-2404. 34p. - Publication Year :
- 2016
-
Abstract
- 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 on 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0010437X
- Volume :
- 152
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Compositio Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 119865991
- Full Text :
- https://doi.org/10.1112/S0010437X16007697