A motivic construction of the de Rham-Witt complex

Abstract

We generalize Kahn-Saito-Yamazaki's theory of reciprocity sheaves over a field to noetherian base schemes. We also prove an analogue of the Hasse-Arf theorem for reciprocity sheaves. As an application, we provide a new construction of the de Rham-Witt complex via reciprocity sheaves.