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arXiv · 2210.16631

K-stability for varieties with a big anticanonical class

Chenyang Xu
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Abstract

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.

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Chenyang Xu. 2022-10-29. K-stability for varieties with a big anticanonical class. https://doi.org/10.46298/epiga.2023.10231

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