Abstract
Given a matroid and a group of its matroid automorphisms, we study the induced group action on the Chow ring of the matroid. This turns out to always be a permutation action. Work of Adiprasito, Huh and Katz showed that the Chow ring satisfies Poincaré duality and the Hard Lefschetz theorem. We lift these to statements about this permutation action, and suggest further conjectures in this vein.
| Original language | English (US) |
|---|---|
| Article number | #24 |
| Journal | Seminaire Lotharingien de Combinatoire |
| Issue number | 91 |
| State | Published - 2024 |
Bibliographical note
Publisher Copyright:© (2024), (Universitat Wien). All rights reserved.
Keywords
- Burnside ring
- Chow ring
- equivariant
- Kahler package
- Koszul
- log-concave
- matroid
- Polya freqency
- real-rooted
- unimodal