Geodesic
K-stability for varieties with a big anticanonical class
Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023)

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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.
DOI : 10.46298/epiga.2023.10231
Classification : 14E99, 14J45, 32Q20 
@article{10_46298_epiga_2023_10231,
     author = {Xu, Chenyang},
     title = {K-stability for varieties with a big anticanonical class},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     year = {2023},
     doi = {10.46298/epiga.2023.10231},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2023.10231/}
}
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Xu, Chenyang. K-stability for varieties with a big anticanonical class. Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023). doi: 10.46298/epiga.2023.10231

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