Tensor structures in the theory of modulus presheaves with transfers

Abstract

The tensor product of ${\mathbb{A}}^1$-invariant sheaves with transfers introduced by Voevodsky is generalized to reciprocity sheaves via the theory of modulus presheaves with transfers. We prove several general properties of this construction and compute it in some cases. In particular we obtain new (motivic) presentations of the absolute Kähler differentials and the first infinitesimal neighborhood of the diagonal.

60 pages, to appear in Math. Z

References in corpus (3)

• Zero cycles with modulus and zero cycles on singular varieties
• Motives with modulus, III: The categories of motives
• Suslin's moving lemma with modulus