Cup products, the Heisenberg group, and codimension two algebraic cycles
arXiv:1510.01825
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.
20 pages; comments welcome