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arXiv · 1606.03301

The eventual paracanonical map of a variety of maximal Albanese dimension

Miguel Ángel Barja·Rita Pardini·Lidia Stoppino
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Abstract

Let $X$ be a smooth complex projective variety such that the Albanese map of $X$ is generically finite onto its image. Here we study the so-called eventual $m$-paracanonical map of $X$ (when $m=1$ we also assume $χ(K_X)>0$). We show that for $m=1$ this map behaves in a similar way to the canonical map of a surface of general type, while it is birational for $m>1$. We also describe it explicitly in several examples.

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Miguel Ángel Barja, Rita Pardini, Lidia Stoppino. 2016-06-10. The eventual paracanonical map of a variety of maximal Albanese dimension. https://doi.org/10.14231/ag-2019-014

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