A remark on the tensor product of SC-reciprocity sheaves
Algebraic Geometry
2019-11-15 v3
Abstract
We give a description of the tensor product of SC-reciprocity presheaves with transfers in terms of -group of geometric type, and we study a structure of the tensor product of and . We apply our description to give a description of Chow group of 0-cycles with modulus of products of curves. We also show that the tensor product of and is isomorphic to the sheaf of K\"ahler differential forms as reciprocity sheaves over characteristic zero.
Keywords
Cite
@article{arxiv.1704.03638,
title = {A remark on the tensor product of SC-reciprocity sheaves},
author = {Rin Sugiyama},
journal= {arXiv preprint arXiv:1704.03638},
year = {2019}
}
Comments
The notion of tensor product in the category of SC-reciprocity sheaves was not correct. We don't know whether this category has a symmetric monoidal structure. But the results in this paper survive in much more suitable way. See arXiv:1911.05291