On coniveau filtration of Grothendieck group of a scheme
Shahram Biglari
TL;DR
This paper investigates the coniveau filtration on the Grothendieck group of a regular noetherian scheme, exploring its interaction with multiplication and lambda ring structures, and establishing results on multiplicativity and Adams operations.
Contribution
It provides new insights into the compatibility of coniveau filtration with algebraic operations on the Grothendieck group, including weak multiplicativity and Adams operations.
Findings
Weak multiplicativity of the filtration established
Compatibility of Adams operations with the filtration shown
Enhanced understanding of the structure of the Grothendieck group
Abstract
In this note we consider the coniveau filtration on the Grothendieck group of a regular separated noetherian scheme and its behavior with respect to the multiplication and the lambda ring structure. We show that a weak multiplicativity result can be proved. A strong compatibility result on Adams operations is also obtained.
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
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Advanced Algebra and Geometry