Geodesic
Cup products, the Heisenberg group, and codimension two algebraic cycles
Documenta mathematica, Tome 21 (2016), pp. 1313-1344
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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 algebraic variety. This generalization of the classical relation between divisors and line bundles furnishes a new perspective on the Bloch–Quillen formula.
DOI : 10.4171/dm/x3
Classification : 14C25, 14F42, 55N15, 55P20
Mots-clés : Heisenberg group, algebraic cycles, higher categories, gerbes 
@article{10_4171_dm_x3,
     author = {Ettore Aldrovandi and Niranjan Ramachandran},
     title = {Cup products, the {Heisenberg} group, and codimension two algebraic cycles},
     journal = {Documenta mathematica},
     pages = {1313--1344},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/x3},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/x3/}
}
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Ettore Aldrovandi; Niranjan Ramachandran. Cup products, the Heisenberg group, and codimension two algebraic cycles. Documenta mathematica, Tome 21 (2016), pp. 1313-1344. doi: 10.4171/dm/x3

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