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arXiv · 1704.03638

A remark on the tensor product of SC-reciprocity sheaves

Rin Sugiyama
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Abstract

We give a description of the tensor product of SC-reciprocity presheaves with transfers in terms of $K$-group of geometric type, and we study a structure of the tensor product of $\mathbb{G}_a$ and $\mathbb{G}_a$. 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 $\mathbb{G}_a$ and $\mathbb{G}_m$ is isomorphic to the sheaf $\Omega^1$ of K\"ahler differential forms as reciprocity sheaves over characteristic zero.

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Rin Sugiyama. 2017-04-12. A remark on the tensor product of SC-reciprocity sheaves. https://arxiv.org/abs/1704.03638

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