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, whose existence is implied by previous results of the authors (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, as described by Beauville, while it is birational for m > 1. We also describe it explicitly in several examples.

The eventual paracanonical map of a variety of maximal Albanese dimension

Rita Pardini;
2019-01-01

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, whose existence is implied by previous results of the authors (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, as described by Beauville, while it is birational for m > 1. We also describe it explicitly in several examples.
2019
Ángel Barja, Miguel; Pardini, Rita; Stoppino, Lidia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/976088
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