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arXiv · 0909.4817

On varieties of maximal Albanese dimension

Zhi Jiang
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Abstract

Let $f: X\to Y$ be a surjective morphism of smooth $n$-dimensional projective varieties, with $Y$ of maximal Albanese dimension. Hacon and Pardini studied the structure of $f$ assuming $P_m(X)=P_m(Y)$ for some $m\geq 2$. We extend their result by showing that, under the above assumtions, $f$ is birationally equivalent to a quotient by a finite abelian group. We also study the pluricanonical map of varieties of maximal Albanese dimesnion. The main result is that the linear series $|5K_X|$ incuces the Iitaka model of $X$.

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Zhi Jiang. 2010-10-19. On varieties of maximal Albanese dimension. https://arxiv.org/abs/0909.4817

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