We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Reciprocity sheaves and logarithmic motives.
- Authors
Saito, Shuji
- Abstract
We connect two developments that aim to extend Voevodsky's theory of motives over a field in such a way as to encompass non- $\mathbf {A}^1$ -invariant phenomena. One is theory of reciprocity sheaves introduced by Kahn, Saito and Yamazaki. The other is theory of the triangulated category $\operatorname {\mathbf {logDM}}^{{\operatorname {eff}}}$ of logarithmic motives launched by Binda, Park and Østvær. We prove that the Nisnevich cohomology of reciprocity sheaves is representable in $\operatorname {\mathbf {logDM}}^{{\operatorname {eff}}}$.
- Subjects
RECIPROCITY (Psychology); TRIANGULATED categories; SHEAF theory; CATEGORIES (Mathematics); RECIPROCITY theorems; DEDEKIND sums
- Publication
Compositio Mathematica, 2023, Vol 159, Issue 2, p355
- ISSN
0010-437X
- Publication type
Article
- DOI
10.1112/S0010437X22007862