@article{fef8ab32ec8c43469c4d05860c0d0e90,
title = "Tensor structures in the theory of modulus presheaves with transfers",
abstract = "The tensor product of A1-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 K{\"a}hler differentials and the first infinitesimal neighborhood of the diagonal.",
keywords = "Non-homotopy invariant motive, Somekawa K-group, Suslin homology with modulus",
author = "Kay R{\"u}lling and Rin Sugiyama and Takao Yamazaki",
note = "Funding Information: The first author was supported by the DFG Heisenberg grant RU 1412/2-2. The second author is supported by JSPS KAKENHI grant (JP16K17579). The third author is supported by JSPS KAKENHI grant (JP18K03232). Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",
year = "2022",
month = jan,
doi = "10.1007/s00209-021-02819-2",
language = "English",
volume = "300",
pages = "929--977",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer New York",
number = "1",
}