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Degree bounds for the defining equations of arithmetically Cohen-Macaulay varieties

Mathematische Annalen volume 281, pages 209–218 (1988)Cite this article

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References

  1. Eisenbud, D., Goto, S.: Linear free resolutions and minimal multiplicity. J. Algebra88, 89–133 (1984)

    Google Scholar 

  2. Geramita, A.V.: The equations defining arithmetically Cohen-Macaulay varieties of dimension ≧1. The curves seminar at Queen's, Vol. III, Queen's Paper in Pure and Applied Mathematics 61, Queen's University, Kingston 1984

    Google Scholar 

  3. Griffiths, P., Harris, J.: Principles of algebraic geometry. New York: Wiley 1978

    Google Scholar 

  4. Harris, J.: A bound on the geometric genus of projective varieties. Ann. Sc. Norm. Sup. Pisa Ser. IV8, 35–68 (1981)

    Google Scholar 

  5. Harris, J.: Curves in projective space. Montreal: Les Presses de l'Université de Montreal 1982

    Google Scholar 

  6. Maroscia, P., Vogel, W.: On the defining equations of points in general position in ℙn. Math. Ann.269, 183–189 (1984)

    Google Scholar 

  7. Sally, J.: Reductions, local cohomology, and Hilbert functions of local rings. Commutative Algebra (Durham), London Math. Soc. Lect. Note Ser. 72. Cambridge: Cambridge University Press 1982

    Google Scholar 

  8. Treger, R.: On equations defining arithmetically Cohen-Macaulay schemes. I. Math. Ann.261, 141–153 (1982)

    Google Scholar 

  9. Treger, R.: On equations defining arithmetically Cohen-Macaulay schemes. II. Duke Math. J.48, 35–47 (1981)

    Google Scholar 

  10. Trung, N.V.: Reduction exponent and degree bound for the defining equations of graded rings. Proc. Am. Math. Soc. (to appear)

  11. Trung, N.V., Valla, G.: Degree bounds for the defining equations of arithmetically Cohen-Macaulay and Buchsbaum varieties. Preprint No. 15, Institute of Mathematics, Hanoi 1986

    Google Scholar 

  12. Stückrad, J., Vogel, W.: Castelnuovo bounds for certain subvarieties in ℙn. Preprint No. 11, Karl-Marx-Universität Leipzig 1986

    Google Scholar 

  13. Gruson, L., Lazarsfeld, R., Peskine, C.: On a theorem of Castelnuovo, and the equations defining space curves. Invent. Math.72, 491–506 (1983)

    Article  Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, Bò Hô, Box 631, Hanoi, Vietnam

    Ngô Viêt Trung

  2. Istituto di Matematica, Università di Genova, I-16132, Genova, Italy

    Giuseppe Valla

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  1. Ngô Viêt Trung
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  2. Giuseppe Valla
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Trung, N.V., Valla, G. Degree bounds for the defining equations of arithmetically Cohen-Macaulay varieties. Math. Ann. 281, 209–218 (1988). https://doi.org/10.1007/BF01458428

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Keywords

  • Degree Bound