Boundedness of weak Fano pairs with alpha-invariants and volumes bounded below

DOI10.4171/PRIMS/56-3-4zbMath1453.14108arXiv1810.04019OpenAlexW3036453869MaRDI QIDQ783769

Wei-Chung Chen

Publication date: 4 August 2020

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.04019

zbMATH Keywords

boundednessalpha-invariantsFano pairs

Mathematics Subject Classification ID

Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20)

Related Items (6)

The existence of the Kähler–Ricci soliton degeneration ⋮ Equivariant K-stability under finite group action ⋮ Finite generation for valuations computing stability thresholds and applications to K-stability ⋮ On positivity of the CM line bundle on K-moduli spaces ⋮ On properness of K-moduli spaces and optimal degenerations of Fano varieties ⋮ Optimal destabilization of K-unstable Fano varieties via stability thresholds

Cites Work

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• Singularities on the base of a Fano type fibration
• Boundedness of log Calabi-Yau pairs of Fano type
• ACC for log canonical thresholds
• On the birational automorphisms of varieties of general type
• Anti-pluricanonical systems on Fano varieties
• 3-FOLD LOG FLIPS
• Singularities of Pairs

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