Nisnevich Descent for Deligne-Mumford Stacks
Amalendu Krishna, Paul-Arne Ostvaer
TL;DR
This paper establishes Nisnevich descent for the K-theory of perfect complexes on Deligne-Mumford stacks, providing new tools for studying their algebraic K-theory via descent techniques.
Contribution
It proves the Nisnevich descent property for K-theory of perfect complexes on Deligne-Mumford stacks, extending descent methods to this class of stacks.
Findings
Proves the excision theorem for K-theory on Deligne-Mumford stacks.
Establishes Nisnevich descent for the K-theory of perfect complexes.
Derives consequences for the study of algebraic K-theory on stacks.
Abstract
We prove the excision theorem for the -theory of perfect complexes on Deligne-Mumford stacks. This is then used to study the Nisnevich site of such stacks. We prove the Nisnevich descent for the -theory of perfect complexes. We also draw some other consequences.
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
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory