Cup products, the Heisenberg group, and codimension two algebraic cycles
classification
🧮 math.AG
math.KT
keywords
algebraiccategoricalcodimensioncyclesdivisorsbloch-quillenbundlesclassical
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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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