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 in Higher Dimensional Geometry; Funder: National Science Foundation; Code: 2201349
    • K-stability and Higher Dimensional Geometry; Funder: National Science Foundation; Code: 1901849
    • 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: 1952531
    • FRG: Collaborative Research: Algebraic Geometry and Singularities in Positive and Mixed Characteristic; Funder: National Science Foundation; Code: 2139613

    Classifications

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

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