Degree of irrationality of hyperelliptic surfaces

被引：3
|
作者：
Yoshihara, H [1 ]
机构：
[1] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan
来源：
ALGEBRA COLLOQUIUM | 2000年 / 7卷 / 03期
关键词：
degree of irrationality; hyperelliptic surface; rational function field; maximal rational subfield;
D O I：
10.1007/s10011-000-0319-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：319 / 328
页数：10
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