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arXiv · 1109.2448

Cohomological support loci of varieties of Albanese fiber dimension one

Zhi Jiang·Hao Sun
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Abstract

Let $X$ be a smooth projective variety of Albanese fiber dimension 1 and of general type. We prove that the translates through 0 of all components of $V^0(ω_X)$ generate $\Pic^0(X)$. We then study the pluricanonical maps of $X$. We show that $|4K_X|$ induces a birational map.

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Zhi Jiang, Hao Sun. 2013-01-04. Cohomological support loci of varieties of Albanese fiber dimension one. https://arxiv.org/abs/1109.2448

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