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

Full text: dvi.gz 76 k, dvi 304 k, ps.gz 463 k, pdf 420 k.

Home Page of DOCUMENTA MATHEMATICA