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

epiga:10231 - Épijournal de Géométrie Algébrique, September 1, 2023, Special volume in honour of Claire Voisin - https://doi.org/10.46298/epiga.2023.10231
K-stability for varieties with a big anticanonical classArticle

Authors: 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: Special volume in honour of Claire Voisin
Published on: September 1, 2023
Accepted on: June 27, 2023
Submitted on: November 1, 2022
Keywords: Mathematics - Algebraic Geometry, Mathematics - Differential Geometry, 14J45, 14E30, 32Q20
Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
Funding:
    Source : OpenAIRE Graph
  • K-stability and Higher Dimensional Geometry; Funder: National Science Foundation; Code: 2153115
  • FRG: Collaborative Research: Algebraic Geometry and Singularities in Positive and Mixed Characteristic; Funder: National Science Foundation; Code: 2139613
  • K-Stability in Higher Dimensional Geometry; Funder: National Science Foundation; Code: 2201349
  • K-stability and Higher Dimensional Geometry; Funder: National Science Foundation; Code: 1901849
  • FRG: Collaborative Research: Algebraic Geometry and Singularities in Positive and Mixed Characteristic; Funder: National Science Foundation; Code: 1952531

Classifications

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

2 Documents citing this article

Share and export

Consultation statistics

This page has been seen 1035 times.
This article's PDF has been downloaded 1061 times.