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Degree of Irrationality of Hyperelliptic Surfaces

Degree of Irrationality of Hyperelliptic Surfaces 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebra Colloquium Springer Journals

Degree of Irrationality of Hyperelliptic Surfaces

Yoshihara, Hisao
Algebra Colloquium , Volume 7 (3) – Jan 1, 2000
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10 pages

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Publisher
Springer Journals
Copyright
Copyright © 2000 by Springer-Verlag Hong Kong
Subject
Mathematics; Algebra; Algebraic Geometry
ISSN
1005-3867
eISSN
0219-1733
DOI
10.1007/s10011-000-0319-3
Publisher site
See Article on Publisher Site

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.

Journal

Algebra Colloquium – Springer Journals

Published: Jan 1, 2000

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