Positivity in varieties of maximal Albanese dimension
Journal
Journal fur die Reine und Angewandte Mathematik
Journal Volume
2015
Date Issued
2015
Author(s)
Jiang, Z.
Abstract
Given a generically finite morphism f from a smooth projective variety X to an abelian variety A, we show that f∗ωX is "sufficiently positive" on A. As an application, we prove that when X is of general type, the global sections of ω2X define a generically finite map of X. We also study the structure of X when X is of general type and satisfies χ(X, ωX) = 0. We formulate a conjectural characterization of such X and prove the conjecture when A has exactly three simple factors.
Type
journal article