Uniform bounds for the Iitaka fibration

2011/11/29 by Gabriele Di Cerbo, Di Cerbo, Gabriele
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1111.6662

arxiv created 2011/11/29 · arxiv updated 2011/11/30

Abstract

We give effective bounds for the uniformity of the Iitaka fibration. These bounds follow from an effective theorem on the birationality of some adjoint linear series. In particular we derive an effective version of the main theorem in [17].

Related

• On the uniformity of the Iitaka fibration
• On the superadditivity of anticanonical Iitaka dimension
• On the pluricanonical maps of varieties of intermediate Kodaira dimension
• Boundedness of the base varieties of certain fibrations
• Log Iitaka conjecture for abundant log canonical fibrations