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math.AG2000
Deformations of the trivial line bundle and vanishing theorems
Herbert Clemens, Christopher Hacon
This paper reproves a general form of the Green-Lazarsfeld 'generic vanishing' theorem and more recent strengthenings, as well as giving some new applications.
math.AG2000
On algebraic fiber spaces over varieties of maximal Albanese dimension
Jungkai A. Chen, Christopher D. Hacon
We study algebraic fiber spaces where is of maximal Albanese dimension. In particular we give an effective version a theorem of Kawamata: If …
math.AG2000
Pluricanonical maps of varieties of maximal Albanese dimension
Jungkai A. Chen, Christopher D. Hacon
Let be a smooth complex projective algebraic variety of maximal Albanese dimension. We give a characterization of in terms of the set $:=\{P\in {\text{\rm…