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arXiv · 1510.01825

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

Ettore Aldrovandi·Niranjan Ramachandran
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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 proper algebraic variety. This generalization of the classical relation between divisors and line bundles furnishes a new perspective on the Bloch-Quillen formula.

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Ettore Aldrovandi, Niranjan Ramachandran. 2015-10-07. Cup products, the Heisenberg group, and codimension two algebraic cycles. https://arxiv.org/abs/1510.01825

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