1. The stacky concentration theorem
- Author
-
Aranha, Dhyan, Khan, Adeel A., Latyntsev, Alexei, Park, Hyeonjun, and Ravi, Charanya
- Subjects
Mathematics - Algebraic Geometry - Abstract
We give a sufficient criterion for the Chow or algebraic bordism groups of an algebraic stack, localized at a set of Chern classes of line bundles, to be concentrated in some closed substack. This is a vast generalization of the torus fixed-point localization theorem in equivariant intersection theory, which is the special case of the stack quotient of a scheme $X$ by an action of a torus $T$. Taking on the one hand an algebraic stack in place of $X$, we deduce a generalization of torus localization to algebraic stacks. Taking on the other hand any algebraic group $G$ instead of $T$, we obtain a localization theorem in $G$-equivariant intersection theory., Comment: 32 pages; split off from arXiv:2207.01652 and revised exposition
- Published
- 2024