A generic approach to the structure of certain normal ideals

Liam O'Carroll

Compositio Mathematica (1996)

  • Volume: 104, Issue: 2, page 217-225
  • ISSN: 0010-437X

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O'Carroll, Liam. "A generic approach to the structure of certain normal ideals." Compositio Mathematica 104.2 (1996): 217-225. <http://eudml.org/doc/90488>.

@article{OCarroll1996,
author = {O'Carroll, Liam},
journal = {Compositio Mathematica},
keywords = {generic Bertini section; linkage; liaison; complete intersection ideals; Rees rings; Serre conditions},
language = {eng},
number = {2},
pages = {217-225},
publisher = {Kluwer Academic Publishers},
title = {A generic approach to the structure of certain normal ideals},
url = {http://eudml.org/doc/90488},
volume = {104},
year = {1996},
}

TY - JOUR
AU - O'Carroll, Liam
TI - A generic approach to the structure of certain normal ideals
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 104
IS - 2
SP - 217
EP - 225
LA - eng
KW - generic Bertini section; linkage; liaison; complete intersection ideals; Rees rings; Serre conditions
UR - http://eudml.org/doc/90488
ER -

References

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  1. [CN] Cavaliere, M.P. and Niesi, G.: On Serre's conditions in the form ring of an ideal, J. Math. Kyoto Univ.21 (1981), 537-546. Zbl0495.13001MR629783
  2. [Ei] Eisenbud, D.: Commutative algebra with a view toward algebraic geometry, Graduate Texts in Math. 150, Springer-Verlag, New York, Berlin, 1995. Zbl0819.13001MR1322960
  3. [HIO] Herrmann, M., Ikeda S. and Orbanz, U.: Equimultiplicity and blowing up, Springer-Verlag, Berlin, New York, 1988. Zbl0649.13011MR954831
  4. [HMV] Herrmann, M., Moonen B. and Villamayor, O.: Ideals of linear type and some variants, in The Curves Seminar at Queen's Vol. VI, Queen's Papers in Pure and Appl. Math. No. 83, Queen's University, Kingston, 1989. Zbl0716.13004MR1036038
  5. [H] Huneke, C.: Symbolic powers of prime ideals and special graded algebras, Comm. in Algebra9 (1981), 339-366. Zbl0454.13003MR605026
  6. [HU] Huneke C. and Ulrich, B.: Divisor class groups and deformations, Amer. J. Math.107 (1985), 1265-1303. Zbl0587.13006MR815763
  7. [HUV] Huneke, C., Ulrich B. and Vasconcelos, W.V.: On the structure of certain normal ideals, Comp. Math.84 (1992), 25-42. Zbl0760.13007MR1183560
  8. [Ho] Hochster, M.: Properties of noetherian rings stable under general grade reduction, Arch. Math.24 (1973), 393-396. Zbl0268.13013MR330147
  9. [It] S. Itoh, Coefficients of normal Hilbert polynomials, J. Algebra150 (1992), 101-117. Zbl0756.13008MR1174891
  10. [Ku] Kunz, E.: Almost complete intersections are not Gorenstein rings, J. Algebra28 (1974), 111-115. Zbl0275.13025MR330158
  11. [Ma] H. Matsumura, Commutative ring theory, Cambridge Studies in Adv. Math. 8, Cambridge University Press, Cambridge, 1986. Zbl0603.13001MR879273
  12. [Na] Nagata, M.: Local rings, John Wiley, New York, 1962. Zbl0123.03402MR155856
  13. [Va] Vasconcelos, W.V.: Arithmetic of blowup algebras, London Math. Soc. Lecture Note Series 195, Cambridge Univ. Press, Cambridge, 1994. Zbl0813.13008MR1275840
  14. [ZS] O. Zariski and P. Samuel, Commutative algebra Vol. II, Graduate Texts in Math. 29, Springer-Verlag, New York, Berlin, 1960. Zbl0322.13001MR120249

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