Covers of the arithmetic site
Lieven Le Bruyn
TL;DR
This paper describes the Barr- and Diaconescu covers of the arithmetic site and constructs it as a shadow of a non-commutative space, advancing understanding of its cohomological properties.
Contribution
It provides explicit descriptions of covers of the arithmetic site and introduces a non-commutative perspective, which is novel in this context.
Findings
Explicit descriptions of Barr- and Diaconescu covers
Construction of the arithmetic site as a non-commutative shadow
Relevance to cohomology studies
Abstract
We give an explicit description of the Barr- and Diaconescu covers of the arithmetic site, which are relevant to cohomology. Further, we construct the arithmetic site as the commutative shadow of a non-commutative topological space.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Combinatorial Mathematics