A valuative criterion for uniform K-stability of ℚ-Fano varieties

By Kento Fujita. Journal für die Reine und Angewandte Mathematik, 2019

199 citations recorded by the source corpus.

<jats:p>We give a simple necessary and sufficient condition for uniform K-stability of <jats:inline-formula id="j_crelle-2016-0055_ineq_9999_w2aab3b7e4369b1b6b1aab1c14b1b1Aa"><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_crelle-2016-0055_eq_0495.png" /><jats:tex-math>\mathbb{Q}</jats:tex-math></jats:alternatives></jats:inline-formula>-Fano varieties.</jats:p>

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/1fdfb4a247f26295b3904c04029761bf76d40c4a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Chi Li
2. Mattias Jonsson
3. S. Boucksom
4. Robert J. Berman
5. Feng Wang
6. G. Tian
7. Yuchen Liu
8. H. Blum

In Geometry and Topology

1. Chi Li
2. Mattias Jonsson
3. S. Boucksom
4. Robert J. Berman
5. Feng Wang
6. G. Tian
7. Yuchen Liu
8. H. Blum

Citations in the corpus

• On the Yau‐Tian‐Donaldson Conjecture for Singular Fano Varieties (2017, methodology): “This is achieved by using the valuative criterions for K-stability developed in [25, 27, 38, 42].”
• A non-Archimedean approach to K-stability (2018, methodology): “It was proved in [BBJ15] (see also [Fuj16]), using techniques from the Minimal Model Program along the same lines as [LX14], that Ding semistability is equivalent to K-semistability, and similarly for the uniform versions.”