Weakly special test configurations of log canonical Fano varieties

DOI10.2140/ant.2022.16.2415OpenAlexW4319965861MaRDI QIDQ2684556

Chuyu Zhou, Guodu Chen

Publication date: 16 February 2023

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08004

zbMATH Keywords

complementlc Fano varietyweakly special test configuration

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Fano varieties (14J45)

Related Items (1)

Boundedness of complements for log Calabi-Yau threefolds

Cites Work

• Fundamental theorems for the log minimal model program
• Existence of log canonical flips and a special LMMP
• Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
• Valuations and asymptotic invariants for sequences of ideals
• Existence of log canonical closures
• \(G\)-uniform stability and Kähler-Einstein metrics on Fano varieties
• Extracting non-canonical places
• On positivity of the CM line bundle on K-moduli spaces
• A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
• Log canonical singularities are Du Bois
• Optimal bounds for the volumes of Kähler-Einstein Fano manifolds
• Fundamental theorems for semi log canonical pairs

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