On the direct image of the adjoint line bundle

2023/10/04 by Biswas, Indranil, Laytimi, Fatima, Nagaraj, D. S. +1
#14F17 #14J60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2310.02764

Abstract

We give an algebraic-geometric proof of the fact that for a smooth fibration π: X \longrightarrow Y of projective varieties, the direct image π_*(L⊗ K_X/Y) of the adjoint line bundle of an ample (respectively, nef and π-strongly big) line bundle L is ample (respectively, nef and big).

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