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Étale duality for constructible sheaves on arithmetic schemes

Étale duality for constructible sheaves on arithmetic schemes

Abstract. In this note we relate the following three topics for arithmetic schemes: a general duality for étale constructible torsion sheaves, a theory of étale homology, and the arithmetic complexes of Gersten–Bloch–Ogus type defined by K. Kato (1986). In brief, there is an absolute duality using certain dualizing sheaves on …