# On the cohomology of reciprocity sheaves

@article{Binda2020OnTC, title={On the cohomology of reciprocity sheaves}, author={Federico Binda and Kay R{\"u}lling and Shuji Saito}, journal={Forum of Mathematics, Sigma}, year={2020}, volume={10} }

Abstract In this paper, we show the existence of an action of Chow correspondences on the cohomology of reciprocity sheaves. In order to do so, we prove a number of structural results, such as a projective bundle formula, a blow-up formula, a Gysin sequence and the existence of proper pushforward. In this way, we recover and generalise analogous statements for the cohomology of Hodge sheaves and Hodge-Witt sheaves. We give several applications of the general theory to problems which have been…

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