JournalsdmVol. 21pp. 1313–1344

Cup products, the Heisenberg group, and codimension two algebraic cycles

  • Ettore Aldrovandi

    Department of Mathematics Department of Mathematics Florida State University University of Maryland Tallahassee FL 32306-4510 USA College Park MD 20742 USA

  • Niranjan Ramachandran

    Department of Mathematics Department of Mathematics Florida State University University of Maryland Tallahassee FL 32306-4510 USA College Park MD 20742 USA
Cup products, the Heisenberg group, and codimension two algebraic cycles cover
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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 algebraic variety. This generalization of the classical relation between divisors and line bundles furnishes a new perspective on the Bloch–Quillen formula.

Cite this article

Ettore Aldrovandi, Niranjan Ramachandran, Cup products, the Heisenberg group, and codimension two algebraic cycles. Doc. Math. 21 (2016), pp. 1313–1344

DOI 10.4171/DM/X3