Boundedness of complements for log Calabi-Yau threefolds

DOI10.1007/s42543-022-00057-xOpenAlexW4319345401MaRDI QIDQ6122841

Guodu Chen, Jing Jun Han, Qingyuan Xue

Publication date: 1 March 2024

Published in: Peking Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42543-022-00057-x

zbMATH Keywords

Fano varietiescomplementslog Calabi-Yau pairs

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Cites Work

• Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs
• Minimal model theory for log surfaces
• Complements on surfaces.
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• Existence of log canonical closures
• Weak semistable reduction in characteristic 0
• Boundedness of \((\epsilon, n)\)-complements for surfaces
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• Openness of K-semistability for Fano varieties
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• Weak Zariski decompositions and log terminal models for generalized pairs
• A minimizing valuation is quasi-monomial
• Anti-pluricanonical systems on Fano varieties
• Foundations of the minimal model program
• Singularities of linear systems and boundedness of Fano varieties
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• Existence of log canonical modifications and its applications
• Inductive Approach to Effective b-Semiampleness
• Variation of mixed Hodge structures and the positivity for algebraic fiber spaces
• Towards the second main theorem on complements
• Existence of minimal models for varieties of log general type
• SMOOTHNESS OF THE GENERAL ANTICANONICAL DIVISOR ON A FANO 3-FOLD
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• Introduction
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