Abstract
We study the birational geometry of varieties of maximal Albanese dimension in this article. Given a non-birational, generically finite, and surjective morphism f: X → Y between varieties of maximal Albanese dimension, we show that the plurigenera P m (X) and P m (Y) for some m ≥ 2 could be equal only in very restrictive situations. We also prove that the 5-th pluricanonical map of a variety of maximal Albanese dimension always induces the Iitaka model.
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Jiang, Z. On varieties of maximal Albanese dimension. manuscripta math. 138, 203–219 (2012). https://doi.org/10.1007/s00229-011-0518-x
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DOI: https://doi.org/10.1007/s00229-011-0518-x