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The invariants of liaison

Part of the Lecture Notes in Mathematics book series (LNM,volume 1008)

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References

  1. R. Apery, Sur les Courbes de premiere espèce de l'espace à trois dimensions, C. R. Acad. Sci. Paris Ser. A-B 220 (1945), 271–272.

    MathSciNet  MATH  Google Scholar 

  2. M. Artin and M. Nagata, Residual intersections in Cohen-Macaulay rings, J. Math. Kyoto Univ. 12 (1972), 307–323.

    MathSciNet  MATH  Google Scholar 

  3. L. Avramov and J. Herzog, The Koszul algebra of a codimension two embedding, to appear, J. of Alg.

    Google Scholar 

  4. H. Bresinsky, P. Schenzel, and W. Vogel, On liaison, arithmetical Buchsbaum curves and monomial curves in ℙ3, Queen's University preprint, (1981).

    Google Scholar 

  5. D. Buchsbaum and D. Eisenbud, Algebra structures for finite free resolutions and some structure theorems for ideals of codimension three, Amer. J. Math. 99(1977), 447–485.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. R.-O. Buchweitz, Contributions a la theorie des singularities, thesis, Paris (1981).

    Google Scholar 

  7. A. Cayley, Note sur les hyperdéterminants, J. Reine Angew. Math. 34(1847), 148–152.

    CrossRef  MathSciNet  Google Scholar 

  8. F. Gaeta, Quelques progrès récents dans la classification des variétiès algèbriques d'un espace projectif, Deuxièume Collogue de Géométrie Algèbrique Liège, C. B. R. M., 1952.

    Google Scholar 

  9. J. Herzog, Deformation von Cohen-Macaulay algebren, J.f.d.r.u.a. Math. 318(1980), 83–105.

    MATH  Google Scholar 

  10. C. Huneke, Linkage and the Koszul homology of ideals, Amer. J. Math., 104(1982), 1043–1062.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. M. Noether, Zur Grundlegung der Theorie der algebraischen Raumkurven. Abh. der Konigl. Preuss. Akad. Wiss. zu Berlin, Verlag der Koniglichen Akademie der Wissenschaften, Berlin 1883.

    Google Scholar 

  12. C. Peskine and L. Szpiro, Liaison des varietés algébriques, Inventiones Math. 26(1974), 271–302.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. P. Rao, Liaison among curves in ℙ3, Invent. Math. 50(1979), 205–217.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. P. Rao, Liaison equivalence classes, Math. Annalen, 258(1981), 169–173.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. J. P. Serre, Algebre Locale; Multiplicities, Springer Lecture Notes 11, Springer-Verlag, Berlin-Heidelberg-New York, 1965.

    Google Scholar 

  16. A. Simis and W. Vasconcelos, The syzygies of the conormal module, Amer. J. Math. 103(1981), 203–224.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. J. Watanabe, A note on Gorenstein rings of embedding codimension 3, Nagoya Math. J. 50(1973), 227–232.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1983 Springer-Verlag

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Huneke, C. (1983). The invariants of liaison. In: Dolgachev, I. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 1008. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065700

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  • DOI: https://doi.org/10.1007/BFb0065700

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12337-8

  • Online ISBN: 978-3-540-40971-7

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