Nefness of the direct images of pluricanonical bundles

2021/08/09 by Wu, Jingcao
#32J25 #32L05 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.03784

Abstract

Given a fibration f between two projective manifolds X and Y, we provide a sufficient condition such that the direct images f_∗(K_X/Y⊗ L⊗\mathscrI(f,‖L‖)) is nef, where L is a holomorphic line bundle with non-negative relative Iitaka dimension and \mathscrI(f,‖L‖) is the relative asymptotic multiplier ideal sheaf.

Related

• Nefness of the direct images of relative canonical bundles
• Direct images of relative pluricanonical bundles
• On the global generation of higher direct images of pluricanonical bundles
• On the direct image of the adjoint big and nef line bundles
• Notes on direct images of pluricanonical bundles