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Reciprocity sheaves
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Bruno Kahn, Shuji Saito, Takao Yamazaki, Kay Rülling
Journal:

Compositio Mathematica / Volume 152 / Issue 9 / September 2016

Published online by Cambridge University Press:

14 July 2016, pp. 1851-1898

Print publication:

September 2016
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We start developing a notion of reciprocity sheaves, generalizing Voevodsky’s homotopy invariant presheaves with transfers which were used in the construction of his triangulated categories of motives. We hope that reciprocity sheaves will eventually lead to the definition of larger triangulated categories of motivic nature, encompassing non-homotopy invariant phenomena.

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Reciprocity sheaves