The moduli b-divisor of an lc-trivial fibration

2003/08/14 by Florin Ambro, Ambro, Florin · 6 citations
Mathematics · #14E30 #14J10 #14N30 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG #msc:14E30 #msc:14J10 #msc:14N30

paper · pdf · doi:10.48550/arxiv.math/0308143

24 pages, LaTex

arxiv created 2003/08/14 · openalex publication_date 2003/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study positivity properties of the moduli (b-)divisor associated to a relative log pair (X,B)/Y with relatively trivial log canonical class.

Cited by

• Characterization of products of projective spaces via nef complexity
• On quasi-Albanese morphisms for log canonical Calabi-Yau pairs
• On the finiteness of log surfaces
• Stein degree on log Calabi-Yau fibrations
• Log Calabi--Yau manifolds: holomorphic tensors, stability and universal cover
• Discreteness of volumes of divisors on Calabi-Yau type varieties

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