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Generic residual intersections

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Commutative Algebra

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1430))

Both authors were partially supported by the NSF.

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References

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

    MathSciNet  MATH  Google Scholar 

  2. W. Bruns, Die Divisorenklassengruppe der Restklassenringe von Polynomringen nach Determinantenidealen, Revue Roumaine Math. Pur. Appl.20(1975), 1109–1111.

    MathSciNet  MATH  Google Scholar 

  3. W. Bruns, Divisors on varieties of complexes, Math. Ann. 264 (1983), 53–71.

    Article  MathSciNet  MATH  Google Scholar 

  4. W. Bruns, A. Kustin, and M. Miller, The resolution of the generic residual intersection of a complete intersection, preprint.

    Google Scholar 

  5. W. Bruns and U. Vetter, “Determinantal Rings,” Lect. Notes Math. 1327, Springer, Berlin-Heidelberg, 1988.

    MATH  Google Scholar 

  6. D. Buchsbaum and D. Eisenbud, Remarks on ideals and resolutions, Sympos. Math. XI (1973), 193–204.

    MathSciNet  MATH  Google Scholar 

  7. R. Fossum, “The divisor class group of a Krull domain,” Springer, Berlin-Heidelberg, 1973.

    Book  MATH  Google Scholar 

  8. J. Herzog, A. Simis, and W. Vasconcelos, Approximation complexes and blowing-up rings, J. Algebra 74 (1982), 466–493.

    Article  MathSciNet  MATH  Google Scholar 

  9. J. Herzog, W. Vasconcelos, and R. Villarreal, Ideals with sliding depth, Nagoya Math. J. 99 (1985), 159–172.

    Article  MathSciNet  MATH  Google Scholar 

  10. M. Hochster, Criteria for the equality of ordinary and symbolic powers, Math. Z. 133 (1973), 53–65.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  12. C. Huneke, On the associated graded ring of an ideal, Illinois J. Math. 26 (1982), 121–137.

    MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  14. C. Huneke, Strongly Cohen-Macaulay schemes and residual intersections, Trans. Amer. Math. Soc. 277 (1983), 739–673.

    Article  MathSciNet  MATH  Google Scholar 

  15. C. Huneke and B. Ulrich, Divisor class groups and deformations, Amer. J. Math. 107 (1985), 1265–1303.

    Article  MathSciNet  MATH  Google Scholar 

  16. C. Huneke and B. Ulrich, Algebraic linkage, Duke Math. J. 56 (1988), 415–429.

    Article  MathSciNet  MATH  Google Scholar 

  17. C. Huneke and B. Ulrich, Residual intersections, J. reine angew. Math. 390 (1988), 1–20.

    MathSciNet  MATH  Google Scholar 

  18. C. Huneke and B. Ulrich, Local properties of licci ideals, in preparation.

    Google Scholar 

  19. P. Murthy, A note on factorial rings, Arch. Math. 15 (1964), 418–420.

    Article  MathSciNet  MATH  Google Scholar 

  20. D. Kirby, A sequence of complexes associated with a matrix, J. London Math. Soc. 7 (1973), 523–530.

    MathSciNet  MATH  Google Scholar 

  21. A. Kustin and B. Ulrich, A family of complexes associated to an almost alternating map, with applications to residual intersections, in preparation.

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  23. B. Ulrich, Parafactoriality and small divisor class groups, in preparation.

    Google Scholar 

  24. Y. Yoshino, The canonical module of graded rings defined by generic matrices, Nagoya Math. J. 81 (1981), 105–112.

    Article  MathSciNet  MATH  Google Scholar 

  25. Y. Yoshino, Some results on the variety of complexes, Nagoya J. Math 93 (1984), 39–60.

    Article  MathSciNet  MATH  Google Scholar 

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Winfried Bruns Aron Simis

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© 1990 Springer-Verlag

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Huneke, G., Ulrich, B. (1990). Generic residual intersections. In: Bruns, W., Simis, A. (eds) Commutative Algebra. Lecture Notes in Mathematics, vol 1430. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085536

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  • DOI: https://doi.org/10.1007/BFb0085536

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52745-9

  • Online ISBN: 978-3-540-47136-3

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