Chow stability of $\lambda$-stable toric varieties - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2024

Chow stability of $\lambda$-stable toric varieties

Résumé

For a given polarized toric variety, we define the notion of $\lambda$-stability which is a natural generalization of uniform K-stability. At the neighbourhoods of the vertices of the corresponding moment polytope $\Delta$, we consider appropriate triangulations and give a sufficient criteria for a $\lambda$-stable polarized toric variety $(X,L)$ to be asymptotically Chow polystable when the obstruction of asymptotic Chow semistability (the Futaki-Ono invariant) vanishes. As an application, we prove that any K-semistable polarized smooth toric variety $(X,L)$ with the vanishing Futaki-Ono invariant is asymptotically Chow polystable.

Dates et versions

hal-04591629 , version 1 (29-05-2024)

Identifiants

Citer

King Leung Lee, Naoto Yotsutani. Chow stability of $\lambda$-stable toric varieties. 2024. ⟨hal-04591629⟩
13 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More