On a theorem of Hazrat and Hoobler
Benjamin Antieau
TL;DR
This paper refines a theorem relating the G-theory of Azumaya algebras to that of their base schemes using cycle complexes, providing sharper results in specific cases.
Contribution
It introduces a more precise comparison theorem for G-theory of Azumaya algebras, extending previous results by Hazrat and Hoobler.
Findings
Sharper version of Hazrat and Hoobler's theorem
Comparison of G-theory for Azumaya algebras and base schemes
Utilizes cycle complexes with coefficients in Azumaya algebras
Abstract
We use cycle complexes with coefficients in an Azumaya algebra, as developed by Kahn and Levine, to compare the G-theory of an Azumaya algebra to the G-theory of the base scheme. We obtain a sharper version of a theorem of Hazrat and Hoobler in certain cases.
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 Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models