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2016 The local symbol complex of a reciprocity functor
Evangelia Gazaki
Ann. K-Theory 1(3): 317-338 (2016). DOI: 10.2140/akt.2016.1.317

Abstract

For a reciprocity functor we consider the local symbol complex

(MG m)(ηC) PC(k) (k),

where C is a smooth complete curve over an algebraically closed field k with generic point ηC and M is the product of Mackey functors. We prove that if satisfies certain assumptions, then the homology of this complex is isomorphic to the K-group of reciprocity functors T(, CH ¯ 0(C)0)(Speck).

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Evangelia Gazaki. "The local symbol complex of a reciprocity functor." Ann. K-Theory 1 (3) 317 - 338, 2016. https://doi.org/10.2140/akt.2016.1.317

Information

Received: 26 May 2015; Revised: 21 July 2015; Accepted: 10 August 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1353.19003
MathSciNet: MR3529094
Digital Object Identifier: 10.2140/akt.2016.1.317

Subjects:
Primary: 14C25

Keywords: local symbol , Milnor $K$-group , reciprocity functor

Rights: Copyright © 2016 Mathematical Sciences Publishers

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