The eventual paracanonical map of a variety of maximal Albanese dimension

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 $\chi (K_X)>0$). 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.

13 pages

References in corpus (2)

• Linear systems on irregular varieties
• Some results on the eventual paracanonical maps

Cited by in corpus (4)

• Linear systems on irregular varieties
• Some results on the eventual paracanonical maps
• Higher Dimensional Slope Inequalities for Irregular fibrations
• On numerically trivial automorphisms of threefolds of general type