Examples of K-unstable Fano manifolds - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2019

Examples of K-unstable Fano manifolds

Résumé

We examine various examples of horosymmetric manifolds which exhibit interesting properties with respect to canonical metrics. In particular, we determine when the blow-up of a quadric along a linear subquadric admits Kähler-Einstein metrics, providing infinitely many examples of manifolds with no Kähler-Ricci solitons that are not K-semistable. Using a different construction, we provide an infinite family of Fano manifolds with no Kähler-Einstein metrics but which admit coupled Kähler-Einstein metrics. Finally, we elaborate on the relationship between Kähler-Ricci solitons and the more general concept of multi-plier Hermitian structures and illustrate this with examples related to the two previous families.
Fichier principal
Vignette du fichier
infinite.pdf (292.23 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02382866 , version 1 (27-11-2019)
hal-02382866 , version 2 (05-05-2022)

Identifiants

  • HAL Id : hal-02382866 , version 1

Citer

Thibaut Delcroix. Examples of K-unstable Fano manifolds. 2019. ⟨hal-02382866v1⟩
58 Consultations
115 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More