A note on lc‐trivial fibrations

DOI10.1112/blms.12949arXiv2206.03921MaRDI QIDQ6150059

Kenta Hashizume

Publication date: 5 March 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.03921

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Minimal model program (Mori theory, extremal rays) (14E30) (n)-folds ((n>4)) (14J40)

Cites Work

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• Singularities on the base of a Fano type fibration
• Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs
• On the moduli b-divisors of lc-trivial fibrations
• Existence of log canonical flips and a special LMMP
• ACC for log canonical thresholds
• Zariski-decomposition and abundance
• On canonical bundle formulas and subadjunctions
• On minimal model theory for log abundant lc pairs
• Anti-pluricanonical systems on Fano varieties
• Remarks on special kinds of the relative log minimal model program
• Effective basepoint-free theorem for semi-log canonical surfaces
• Shokurov's boundary property
• Polarized pairs, log minimal models, and Zariski decompositions
• Existence of minimal models for varieties of log general type
• Subadjunction of log canonical divisors, II
• The moduli b-divisor of an lc-trivial fibration
• Iitaka fibrations for dlt pairs polarized by a nef and log big divisor
• On the B-Semiampleness Conjecture
• Effective base point freeness
• Geometry of polarised varieties

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