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Article Dans Une Revue Journal of Algebraic Geometry Année : 2017

K-groups of reciprocity functors

Résumé

In this work we introduce reciprocity functors, construct the associated K-group of a family of reciprocity functors, which itself is a reciprocity functor, and compute it in several different cases. It may be seen as a first attempt to get closed to the notion of reciprocity sheaves imagined by B. Kahn. Commutative algebraic groups, homotopy invariant Nisnevich sheaves with transfers, cycle modules or Kähler differentials are examples of reciprocity functors. As commutative algebraic groups do, reciprocity functors are equipped with symbols and satisfy a reciprocity law for curves.

Dates et versions

hal-00745156 , version 1 (24-10-2012)

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Florian Ivorra, Kay Rülling. K-groups of reciprocity functors. Journal of Algebraic Geometry, 2017, 26 (2), pp.199-278. ⟨10.1090/jag/678⟩. ⟨hal-00745156⟩
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