Abstract
The degree of irrationality, which is a new birational invariant of algebraic varieties, has been introduced before. But the value has been determined only for a few varieties. In this paper, we show that the value for a hyperelliptic surface is 2 or 3 except one undetermined case. Especially, we give a characterization of some hyperelliptic surfaces by their function fields.
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Communicated by Fu-an Li
2000 Mathematics Subject Classification: primary 14J25, secondary 14E05
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Yoshihara, H. Degree of Irrationality of Hyperelliptic Surfaces. Algebra Colloq. 7, 319–328 (2000). https://doi.org/10.1007/s10011-000-0319-3
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DOI: https://doi.org/10.1007/s10011-000-0319-3