On the moduli b-divisors of lc-trivial fibrations

DOI10.5802/aif.2894zbMath1314.14030arXiv1210.5052OpenAlexW2325505439MaRDI QIDQ486814

Yoshinori Gongyo, Osamu Fujino

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5052

zbMATH Keywords

canonical bundle formulaeklt-trivial fibrationslc-trivial fibrationssemi-stable minimal model program

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Minimal model program (Mori theory, extremal rays) (14E30) Adjunction problems (14N30)

Related Items

On the existence of minimal models for log canonical pairs, Fundamental properties of basic slc-trivial fibrations. I, On the connectedness principle and dual complexes for generalized pairs, A note on lc‐trivial fibrations, On quasi-log schemes, A variant of the effective adjunction conjecture with applications, Boundedness of the base varieties of certain fibrations, Positivity of anticanonical divisors in algebraic fibre spaces, Minimal model theory for relatively trivial log canonical pairs, Nefness: generalization to the lc case, A Travel Guide to the Canonical Bundle Formula, On the log canonical ring with Kodaira dimension two, Unnamed Item, Anti-pluricanonical systems on Fano varieties, On the log canonical ring of projective plt pairs with the Kodaira dimension two, On a generalized canonical bundle formula and generalized adjunction, Hyperbolicity for log canonical pairs and the cone theorem, Unnamed Item, Shokurov’s conjecture on conic bundles with canonical singularities, On a generalized canonical bundle formula for generically finite morphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Basepoint-free theorems: saturation, b-divisors, and canonical bundle formula
• Variations of mixed Hodge structure and semipositivity theorems
• Fundamental theorems for the log minimal model program
• Toroidal embeddings. I
• Abundance theorem for semi log canonical threefolds
• Higher direct images of log canonical divisors
• Semi-stable minimal model program for varieties with trivial canonical divisor
• Shokurov's boundary property
• Théorie de Hodge. II. (Hodge theory. II)
• Some remarks on the minimal model program for log canonical pairs
• Images of manifolds with semi-ample anti-canonical divisor
• Inductive Approach to Effective b-Semiampleness
• On Kawamata's theorem
• Towards the second main theorem on complements
• Subadjunction of log canonical divisors for a subvariety of codimension 2
• The moduli b-divisor of an lc-trivial fibration
• A canonical bundle formula for certain algebraic fiber spaces and its applications
• 3-fold flips after Shokurov
• What is log terminal?
• Kodaira's canonical bundle formula and adjunction