Cup Products, the Heisenberg Group, and Codimension Two Algebraic Cycles
We define higher categorical invariants (gerbes) of codimension two algebraic cycles and provide a categorical interpretation of the intersection of divisors on a smooth algebraic variety. This generalization of the classical relation between divisors and line bundles furnishes a new perspective on the Bloch-Quillen formula.
2010 Mathematics Subject Classification: 14C25, 14F42, 55P20, 55N15
Keywords and Phrases: Algebraic cycles, gerbes, Heisenberg group, higher categories
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