Remarks on 1–motivic sheaves

Abstract

AbstractWe generalize the construction of the category of 1–motives with torsion in [2] as well as the construction of the category of 1–motivic sheaves Shv1 in [1] to perfect fields k (without inverting the exponential characteristic). For k transcendental over the prime field we extend a result in [1] showing that and Shv1 have equivalent bounded derived categories.