Degree of irrationality of a product

of two elliptic curves

Author:
Hisao Yoshihara

Journal:
Proc. Amer. Math. Soc. **124** (1996), 1371-1375

MSC (1991):
Primary 14J25; Secondary 14K99

DOI:
https://doi.org/10.1090/S0002-9939-96-03375-8

MathSciNet review:
1327053

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Abstract | References | Similar Articles | Additional Information

Abstract: We consider the degree of irrationality of some algebraic surface . Firstly we give an estimate of for a surface with a structure of a fiber space. Secondly we prove the existence of a nonsingular curve of genus 3 on for a certain elliptic curve with complex multiplications. As a corollary, we obtain that .

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Additional Information

**Hisao Yoshihara**

Affiliation:
Department of Mathematics, Faculty of Science, Niigata University, 950-21 Niigata, Japan

Email:
yosihara@geb.ge.niigata-u.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-96-03375-8

Keywords:
Degree of irrationality,
abelian surface,
elliptic curve with complex multiplications

Received by editor(s):
October 13, 1994

Communicated by:
Eric M. Friedlander

Article copyright:
© Copyright 1996
American Mathematical Society