On the structure of certain normal ideals

Craig Huneke; Bernd Ulrich; Wolmer V. Vasconcelos

Compositio Mathematica (1992)

  • Volume: 84, Issue: 1, page 25-42
  • ISSN: 0010-437X

How to cite

top

Huneke, Craig, Ulrich, Bernd, and Vasconcelos, Wolmer V.. "On the structure of certain normal ideals." Compositio Mathematica 84.1 (1992): 25-42. <http://eudml.org/doc/90176>.

@article{Huneke1992,
author = {Huneke, Craig, Ulrich, Bernd, Vasconcelos, Wolmer V.},
journal = {Compositio Mathematica},
keywords = {complete intersection; normal ideal; integrally closed ideals; residual linkage},
language = {eng},
number = {1},
pages = {25-42},
publisher = {Kluwer Academic Publishers},
title = {On the structure of certain normal ideals},
url = {http://eudml.org/doc/90176},
volume = {84},
year = {1992},
}

TY - JOUR
AU - Huneke, Craig
AU - Ulrich, Bernd
AU - Vasconcelos, Wolmer V.
TI - On the structure of certain normal ideals
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 84
IS - 1
SP - 25
EP - 42
LA - eng
KW - complete intersection; normal ideal; integrally closed ideals; residual linkage
UR - http://eudml.org/doc/90176
ER -

References

top
  1. [1] M. Artin and M. Nagata, Residual intersections in Cohen-Macaulay rings, J. Math. Kyoto Univ.12 (1972), 307-323. Zbl0263.14019MR301006
  2. [2] L. Avramov and J. Herzog, The Koszul algebra of a codimension 2 embedding, Math. Z.175 (1980), 249-260. Zbl0461.14014MR602637
  3. [3] R.-O. Buchweitz, Contributions à la théorie des singularités, thesis, l'Université Paris VII, 1981. 
  4. [4] H. Flenner, Die Sätze von Bertini für lokale Ringe, Math. Ann.229 (1977), 97-111. Zbl0398.13013MR460317
  5. [5] S. Goto, The divisor class group of a certain Krull domain, J. Math. Kyoto Univ.17 (1977), 47-50. Zbl0368.13015MR435063
  6. [6] S. Goto, Integral closedness of complete intersection ideals, J. Algebra108 (1987), 151-160. Zbl0629.13004MR887198
  7. [7] J. Herzog, A. Simis and W.V. Vasconcelos, Koszul homology and blowing-up rings, in Commutative Algebra, Proceedings: Trento1981 (S. Greco and G. Valla, Eds.), Lecture Notes in Pure and Applied Math. 84, M. Dekker, New York, 1983, 79-169. Zbl0499.13002MR686942
  8. [8] J. Herzog and B. Ulrich, Self-linked curve singularities, Nagoya Math. J.120 (1990), 129-153. Zbl0708.14032MR1086575
  9. [9] J. Herzog, W.V. Vasconcelos and R. Villarreal, Ideals with sliding depth, Nagoya Math. J.99 (1985), 159-172. Zbl0561.13014MR805087
  10. [10] C. Huneke, On the associated graded ring of an ideal, Illinois J. Math.26 (1982), 121-137. Zbl0479.13008MR638557
  11. [11] C. Huneke, Linkage and the Koszul homology of ideals, Amer. J. Math.104 (1982), 1043-1062. Zbl0505.13003MR675309
  12. [12] C. Huneke, Strongly Cohen-Macaulay schemes and residual intersections, Trans. Amer. Math. Soc.277 (1983), 739-763. Zbl0514.13011MR694386
  13. [13] C. Huneke and B. Ulrich, The structure of linkage, Annals of Math.126 (1987), 277-334. Zbl0638.13003MR908149
  14. [14] C. Huneke and B. Ulrich, Residual intersections, J. reine angew. Math.390 (1988), 1-20. Zbl0732.13004MR953673
  15. [15] C. Huneke and B. Ulrich, Powers of licci ideals, in Commutative Algebra (M. Hochster, C. Huneke and J. D. Sally, Eds.), MSRI Publications 15, Springer-Verlag, Berlin, Heidelberg, New York, 1989, 339-346. Zbl0731.13008MR1015526
  16. [16] C. Huneke and B. Ulrich, Generic residual intersections, in Commutative Algebra Proceedings: Salvador 1988 (W. Bruns and A. Simis, Eds.), Lecture Notes in Mathematics 1430, Springer-Verlag, Berlin, Heidelberg, New York, 1990, 47-60. Zbl0723.14002MR1068323
  17. [17] M. Morales, N.V. Trung and O. Villamayor, Sur la fonction de Hilbert-Samuel des clôtures intégrales des puissances d'idéaux engendrés par un système de paramètres, J. Algebra129 (1990), 96-102. Zbl0701.13004MR1037394
  18. [18] D.G. Northcott and D. Rees, Reductions of ideals in local rings, Proc. Camb. Phil. Soc.50 (1954), 145-158. Zbl0057.02601MR59889
  19. [19] C. Peskine and L. Szpiro, Liaison des variétés algébriques, Invent. Math.26 (1974), 271-302. Zbl0298.14022MR364271
  20. [20] G. Valla, On determinantal ideals which are set-theoretic complete intersections, Compositio Math.42 (1981), 3-11. Zbl0474.14034MR594479
  21. [21] W.V. Vasconcelos, On linear complete intersections, J. Algebra111 (1987), 306-315. Zbl0648.13007MR916168
  22. [22] J. Watanabe, m-full ideals, Nagoya Math. J.106 (1987), 101-111. Zbl0623.13012MR894414
  23. [23] O. Zariski and P. Samuel, Commutative Algebra, Volume II, Springer-Verlag, Berlin, Heidelberg, New York, 1975. MR389876

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.