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Reciprocity sheaves, II

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arxiv 1707.07398 v7 pith:3M4GEORJ submitted 2017-07-24 math.AG

Bruno Kahn , Shuji Saito , Takao Yamazaki This is my paper · ORCID
classification math.AG
keywords arxivmathsheavesreciprocityexhibitintimatemodulusrelationship
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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].

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  1. Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs

    math.AG 2019-08 accept novelty 7.0 of 10

    The paper constructs a new category of Nisnevich sheaves with transfers on non-proper modulus pairs, proves it is a Grothendieck abelian category, and computes its Ext groups as filtered colimits of Nisnevich cohomology.

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