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Degree of irrationality of a product of two elliptic curves |
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| Authors: | Hisao Yoshihara |
| Institution: | Department of Mathematics, Faculty of Science, Niigata University, 950-21 Niigata, Japan |
| 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  . |
| Keywords: | Degree of irrationality abelian surface elliptic curve with complex multiplications |
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