Cup products, the Heisenberg group, and codimension two algebraic cycles
Algebraic Geometry
2015-10-08 v1 K-Theory and Homology
Abstract
We define higher categorical invariants (gerbes) of codimension two algebraic cycles and provide a categorical interpretation of the intersection of divisors on a smooth proper algebraic variety. This generalization of the classical relation between divisors and line bundles furnishes a new perspective on the Bloch-Quillen formula.
Keywords
Cite
@article{arxiv.1510.01825,
title = {Cup products, the Heisenberg group, and codimension two algebraic cycles},
author = {Ettore Aldrovandi and Niranjan Ramachandran},
journal= {arXiv preprint arXiv:1510.01825},
year = {2015}
}
Comments
20 pages; comments welcome