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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.2023.10231K-stability for varieties with a big anticanonical classArticle
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
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
Financement :
- Source : OpenAIRE Graph
- FRG: Collaborative Research: Algebraic Geometry and Singularities in Positive and Mixed Characteristic; Financeur: National Science Foundation; Code: 2139613
- FRG: Collaborative Research: Algebraic Geometry and Singularities in Positive and Mixed Characteristic; Financeur: National Science Foundation; Code: 1952531
- 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
Classifications
Mathematics Subject Classification 20201
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