39
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

MULTIPLICITIES AND TRANSFORMS OF IDEALS OF RINGS OF DIMENSION THREE

Pages 1259-1279 | Received 01 Oct 1999, Published online: 20 Aug 2006

REFERENCES

  • Zariski , O. 1938 . Polynomial Ideals Defined by Infinitely Near Base Points . Am. J. Math. , 1938 : 151 – 204 .
  • Zariski , O. and Samuel , P. 1960 . Commutative Algebra Vol. II , Princeton : Van Nostrand .
  • Huneke , C. 1989 . “ Complete Ideals in Two-dimensional Regular Local Rings ” . In Commutative Algebra, Proc. Microprogram 325 – 338 . New York : MSRI Publication # 15; Springer .
  • Risler , J. J. 1973 . Sur les deformations equisingulieres d'ideaux . Bulletin Soc. Math. France , 101 : 3 – 16 .
  • Johnston , B. 1994 . On The Higher Dimensional Multiplicity Formula Associated to the Length Formula of Hoskin and Deligne . Commun. algebra , 22 : 2057 – 2071 .
  • Lipman , J. 1987 . “ On Complete Ideals in Regular Local Rings ” . In Algebraic Geometry and Commutative Algebra, in Honor of M. Nagata 203 – 231 . San Diego : Academic Press .
  • Nobile , A. 1994 . Improving Ideals by Means of Quadratic Transformations . Commun. algebra , 22 : 5195 – 5208 .
  • Hartshorne , R. 1977 . Algebraic Geometry New York : Springer .
  • Atiyah , M. F. and Macdonald , I. G. 1969 . Introduction to Commutative Algebra Reading, MA : Addison-Wesley .
  • Herman , M. , Ikeda , S. and Orbanz , U. 1988 . Equimultiplicity and Blowing-up Berlin : Springer .
  • Kunz , E. 1985 . Introduction to Commutative Algebra and Algebraic Geometry Cambridge, MA : Birkhaüser .
  • Matsumara , H. 1989 . Commutative Ring Theory Cambridge : Cambridge University Press .
  • Katz , D. 1988 . Note on Multiplicity . Proc. AMS , 104 : 1021 – 1026 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.