DOCUMENTA MATHEMATICA, Vol. 21 (2016), 1313-1344

E. Aldrovandi and N. Ramachandran

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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