Existence of curves of genus three on a product of two elliptic curves

Hisao YOSHIHARA

doi:10.2969/jmsj/04930531

Hisao YOSHIHARA

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ジャーナルフリー

1997 年 49 巻 3 号 p. 531-537

DOI https://doi.org/10.2969/jmsj/04930531

詳細

Published: 1997 Received: 1995/06/13 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) W. Barth, Abelian surfaces with (1, 2)-polarization, Adv. Studies in Pure Math., 10 (1987), 41-84.
2) J. W. S. Cassels, An Introduction to the Geometry of Numbers, Grundlehren Math. Wiss., 99, Springer-Verlag, 1971.
3) T. Hayashida and M. Nishi, Existence of curves of genus two on a product of two elliptic curves, J. Math. Soc. Japan, 17 (1965), 1-16.
4) T. T. Moh and W. Heinzer, On the Lüroth semigroups and Weierstrass canonical divisors, J. Algebra, 77 (1982), 62-73.
5) H. Tokunaga and H. Yoshihara, Degree of irrationality of abelian surfaces, J. Algebra, 174 (1995), 1111-1121.
6) A. Weil, Variété abéliennes et courbes algébriques, Hermann 1971.
7) H. Yoshihara, Degree of irrationality of an algebraic surface, J. Algebra, 167 (1994), 634-640.
8) H. Yoshihara, Degree of irrationality of a product of two elliptic curves, Proc. Amer. Math. Soc. 124 (1996), 1371-1375.

Right : [1] W. Barth, Abelian surfaces with (1,2)-polarization, Adv. Studies in Pure Math., 10 (1987), 41-84.
[2] J. W. S. Cassels, An Introduction to the Geometry of Numbers, Grundlehren Math. Wiss., 99, Springer-Verlag, 1971.
[3] T. Hayashida and M. Nishi, Existence of curves of genus two on a product of two elliptic curves, J. Math. Soc. Japan, 17 (1965), 1-16.
[4] T. T. Moh and W. Heinzer, On the Lüroth semigroups and Weierstrass canonical divisors, J. Algebra, 77 (1982), 62-73.
[5] H. Tokunaga and H. Yoshihara, Degree of irrationality of abelian surfaces, J. Algebra, 174 (1995), 1111-1121.
[6] A. Weil, Variété abéliennes et courbes algébriques, Hermann 1971.
[7] H. Yoshihara, Degree of irrationality of an algebraic surface, J. Algebra, 167 (1994), 634-640.
[8] H. Yoshihara, Degree of irrationality of a product of two elliptic curves, Proc. Amer. Math. Soc. 124 (1996), 1371-1375.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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