Geodesic
Cup products, the Heisenberg group, and codimension two algebraic cycles
Documenta mathematica, Tome 21 (2016), pp. 1313-1344.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14C25, 14F42, 55P20, 55N15
Keywords: algebraic cycles, gerbes, Heisenberg group, higher categories 
@article{DOCMA_2016__21__a9,
     author = {Aldrovandi, Ettore and Ramachandran, Niranjan},
     title = {Cup products, the {Heisenberg} group, and codimension two algebraic cycles},
     journal = {Documenta mathematica},
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     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a9/}
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Aldrovandi, Ettore; Ramachandran, Niranjan. Cup products, the Heisenberg group, and codimension two algebraic cycles. Documenta mathematica, Tome 21 (2016), pp. 1313-1344. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a9/