Positivity in varieties of maximal Albanese dimension

来源 :2014 Workshop on Algebraic Geometry(2014代数几何研讨会) | 被引量 : 0次 | 上传用户:happytower
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  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 ωX 2 is globally generated away from the exceptional locus of f.We also study the structure of X when X is moreover of general type and satisfies χ(X,ωX)=0.This is a joint work with Jungkai Chen.
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