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Numerical invariants of liaison classes

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References

  1. Auslander, M., Buchsbaum, D.: Codimension and multiplicity. Ann. of Math.68, 625–657 (1958)

    Google Scholar 

  2. Avramov, L., Herzog, J.: The Koszul algebra of a codimension two embedding. Math. Zeit.175, 249–260 (1980)

    Google Scholar 

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

    Google Scholar 

  4. Buchsbaum, D., Eisenbud, D.: What makes a complex axact? J. Algebra25, 259–268 (1973)

    Google Scholar 

  5. Buchweitz, R.-O.: Thesis, l'Université Paris VII. 1981

  6. Dutta, S.: Generalized intersection multiplicities of modules. Trans. Amer. Math. Soc. (to appear)

  7. Dutta, S., Hochster, M., McLaughlin, J.: Modules of finite projective dimension with negative intersection multiplicities. Preprint 1983

  8. Gulliksen, T.H., Negard, O.G.: Un complexe résolvant pour certains ideaux déterminantiels. C.R. Acad. Sci. Paris Sér. A274 (1972)

  9. Herzog, J.: Komplexe. Auflösungen und Dualität in der lokalen Algebra. Habilitationsschrift, Universität Regensburg 1974

  10. Herzog, J.: Homological properties of the module of differentials. Preprint 1983

  11. Hochster, M.: Euler characteristics over unramified regular local rings. Preprint 1982

  12. Hochster, M.: Properties of Noetherian rings stable under general grade reduction. Arch. Math.24, 393–396 (1973)

    Google Scholar 

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

    Google Scholar 

  14. Huneke, C.: Invariants of liaison. Algebraic Geometry Proceeding, Ann Arbor, 1981. Lecture Notes in Mathematics, vol. 1008, pp. 65–74. Berlin-Heidelberg-New York: Springer 1983

    Google Scholar 

  15. Kaplansky, I.: Commutative Rings. Chicago: University of Chicago Press 1974

    Google Scholar 

  16. Kunz, E.: Almost complete intersections are not Gorenstein rings. J. Algebra28, 111–115 (1974)

    Google Scholar 

  17. Kustin, A., Miller, M.: Deformation and linkage of Gorenstein algebras. Preprint 1982

  18. Lichtenbaum, S.: On the vanishing of Tor in regular local rings. Illinois J. Math.10, 220–226 (1966)

    Google Scholar 

  19. Peskine, C., Szpiro, L.: Dimension projective finie et cohomologie locale. I.H.E.S. Publ. Math.42, 323–395 (1973)

    Google Scholar 

  20. Peshine, C., Szpiro, L.: Liaison des varietés algébriques. Invent. Math.26, 271–302 (1973)

    Google Scholar 

  21. Serre, J-P.: Algèbre locale Multiplicités. Lecture Notes in Math. no. 11. Berlin-Heidelberg-New York: Springer 1965

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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  1. Department of Mathematics, Purdue University, 47907, W. Lafayette, IN, USA

    C. Huneke

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  1. C. Huneke
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Alfred P. Sloan Postdoctoral Fellow

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Huneke, C. Numerical invariants of liaison classes. Invent Math 75, 301–325 (1984). https://doi.org/10.1007/BF01388567

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