397 research outputs found
Reciprocity sheaves, II
We exhibit an intimate relationship between "reciprocity sheaves" from
arXiv:1402.4201 [math.AG] and "modulus sheaves with transfers" from
arXiv:1908.02975 [math.AG] and arXiv:1910.14534 [math.AG].Comment: A mistake in arXiv:1511.07124 [math.AG] pointed out by Ayoub has been
repaired, so the previous paper is restored with a changed titl
Voevodsky's motives and Weil reciprocity
We describe Somekawa's K-group associated to a finite collection of
semi-abelian varieties (or more general sheaves) in terms of the tensor product
in Voevodsky's category of motives. While Somekawa's definition is based on
Weil reciprocity, Voevodsky's category is based on homotopy invariance. We
apply this to explicit descriptions of certain algebraic cycles.Comment: Revised version; the title and introduction were changed. arXiv admin
note: substantial text overlap with arXiv:1009.455
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