Space curves of genus 7 and degree 8 on a non-singular cubic surface with stable normal bundle

Tomoaki ONO

doi:10.2969/jmsj/04030415

Tomoaki ONO

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JOURNAL FREE ACCESS

1988 Volume 40 Issue 3 Pages 415-424

DOI https://doi.org/10.2969/jmsj/04030415

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Published: 1988 Received: January 05, 1987 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) E. Ballico and Ph. Ellia, Some more examples of curves in P³ with stable normal bundle, J. Reine Angew. Math., 350 (1984), 87-93.
2) J. W. Bruce and C. T. C. Wall, On the classification of cubic surfaces, J. London Math. Soc., 19 (1979), 245-256.
3) Ph. Ellia, Exemples de courbes de P³ à fibré normal semi-stable, stable, Math. Ann., 264 (1983), 389-396.
4) G. Ellingsrud and A. Hirschowitz, Sur le fibré normal des courbes gauches, C. R. Acad. Sci. Paris, Sér. I, 299 (1984), 245-248.
5) P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley-Interscience, New York, 1978.
6) R. Hartshorne, Algebraic Geometry, Graduate Texts in Math., 52, Springer, 1977.
7) P. E. Newstead, A space curve whose normal bundle is stable, J. London Math. Soc., 28 (1983), 428-434.
8) D. Perrin, Courbes passant par k points généraux de P³; h⁰-stabilité, C. R. Acad. Sci. Paris, Sér. I, 299 (1984), 879-882.
9) M. Watanabe, On projective normality of space curves on a non-singular cubic surface in P³, Tokyo J. Math., 4 (1981), 331-341.

Right : [1] E. Ballico and Ph. Ellia, Some more examples of curves in P³ with stable normal bundle, J. Reine Angew. Math., 350 (1984), 87-93.
[2] J. W. Bruce and C. T. C. Wall, On the classification of cubic surfaces, J. London Math. Soc., 19 (1979), 245-256.
[3] Ph. Ellia, Exemples de courbes de P³ à fibré normal semi-stable, stable, Math. Ann., 264 (1983), 389-396.
[4] G. Ellingsrud and A. Hirschowitz, Sur le fibré normal des courbes gauches, C. R. Acad. Sci. Paris, Sér. I, 299 (1984), 245-248.
[5] P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley-Interscience, New York, 1978.
[6] R. Hartshorne, Algebraic Geometry, Graduate Texts in Math., 52, Springer, 1977.
[7] P. E. Newstead, A space curve whose normal bundle is stable, J. London Math. Soc., 28 (1983), 428-434.
[8] D. Perrin, Courbes passant par k points généraux de P³; h⁰-stabilité, C. R. Acad. Sci. Paris, Sér. I, 299 (1984), 879-882.
[9] M. Watanabe, On projective normality of space curves on a non-singular cubic surface in P³, Tokyo J. Math., 4 (1981), 331-341.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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