Chenyang Xu - K-stability for varieties with a big anticanonical class

epiga:10231 - Épijournal de Géométrie Algébrique, 1 septembre 2023, Volume spécial en l'honneur de Claire Voisin - https://doi.org/10.46298/epiga.2023.10231
K-stability for varieties with a big anticanonical classArticle

Auteurs : Chenyang Xu

We extend the algebraic K-stability theory to projective klt pairs with a big anticanonical class. While in general such a pair could behave pathologically, it is observed in this note that K-semistability condition will force them to have a klt anticanonical model, whose stability property is the same as the original pair.

Comment: 9 pages, Final version

https://doi.org/10.46298/epiga.2023.10231
Source : arXiv.org:2210.16631
Volume : Volume spécial en l'honneur de Claire Voisin
Publié le : 1 septembre 2023
Accepté le : 27 juin 2023
Soumis le : 1 novembre 2022
Mots-clés : Mathematics - Algebraic Geometry, Mathematics - Differential Geometry, 14J45, 14E30, 32Q20
Licence : Attribution - Partage dans les Mêmes Conditions 4.0 International (CC BY-SA 4.0)
Financement :
    Source : OpenAIRE Graph
  • K-Stability in Higher Dimensional Geometry; Financeur: National Science Foundation; Code: 2201349
  • K-stability and Higher Dimensional Geometry; Financeur: National Science Foundation; Code: 1901849
  • K-stability and Higher Dimensional Geometry; Financeur: National Science Foundation; Code: 2153115
  • FRG: Collaborative Research: Algebraic Geometry and Singularities in Positive and Mixed Characteristic; Financeur: National Science Foundation; Code: 1952531
  • FRG: Collaborative Research: Algebraic Geometry and Singularities in Positive and Mixed Characteristic; Financeur: National Science Foundation; Code: 2139613

Classifications

Mathematics Subject Classification 20201
Sources:
  • [1] zbMATH Open.

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