Tangent cones at Gorenstein singularities

Judith D. Sally

Compositio Mathematica (1980)

  • Volume: 40, Issue: 2, page 167-175
  • ISSN: 0010-437X

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Sally, Judith D.. "Tangent cones at Gorenstein singularities." Compositio Mathematica 40.2 (1980): 167-175. <http://eudml.org/doc/89432>.

@article{Sally1980,
author = {Sally, Judith D.},
journal = {Compositio Mathematica},
keywords = {tangent cones at Gorenstein singularities; embedding dimension; Cohen- Macaulay point; multiplicity of local ring},
language = {eng},
number = {2},
pages = {167-175},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Tangent cones at Gorenstein singularities},
url = {http://eudml.org/doc/89432},
volume = {40},
year = {1980},
}

TY - JOUR
AU - Sally, Judith D.
TI - Tangent cones at Gorenstein singularities
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 40
IS - 2
SP - 167
EP - 175
LA - eng
KW - tangent cones at Gorenstein singularities; embedding dimension; Cohen- Macaulay point; multiplicity of local ring
UR - http://eudml.org/doc/89432
ER -

References

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  1. [1] S.S. Abhyankar: Local rings of high embedding dimension. Amer. J. Math.89 (1967) 1073-1077. Zbl0159.33202MR220723
  2. [2] M. Artin: On isolated rational singularities of surfaces. Amer. J. Math.88 (1966) 129-137. Zbl0142.18602MR199191
  3. [3] J. Herzog and E. Kunz: Der kanonische Modul eines Cohen-Macaulay Rings: Lecture Notes in Mathematics238. Springer-Verlag, 1971. Zbl0231.13009MR412177
  4. [4] M. Hochster and L.J. Ratliff, JR.: Five theorems on Macaulay rings. Pac. J. Math.44 (1973) 147-172. Zbl0239.13016MR314834
  5. [5] I. Kaplansky: R-sequences and homological dimension. Nagoya Math. J.20 (1962) 195-199. Zbl0106.25702MR175955
  6. [6] E. Kunz: The value semigroup of a one-dimensional Gorenstein ring. Proc. Amer. Math. Soc.25 (1970) 748-751. Zbl0197.31401MR265353
  7. [7] H. Laufer: On minimally elliptic singularities. Amer. J. Math., 99 (1977) 1257-1259. Zbl0384.32003MR568898
  8. [8] J. Matijevic: Three local conditions on a graded ring. Trans. Amer. Math. Soc.205 (1975) 275-284. Zbl0308.13024MR384776
  9. [9] J. Matijevic and P. Roberts: A conjecture of Nagata on graded Cohen-Macaulay rings. J. Math. Kyoto Univ.14 (1974) 125-128. Zbl0278.13013MR340243
  10. [10] D.G. Northcott: The neighbourhoods of a local ring. J. London Math. Soc.30 (1955) 360-375. Zbl0067.26803MR71110
  11. [11] D.G. Northcott and D. Rees: Reductions of ideals in local rings. Proc. Camb. Phil. Soc.50 (1954) 145-158. Zbl0057.02601MR59889
  12. [12] J.D. Sally: On the associated graded ring of a local Cohen-Macaulay ring. J. Math. Kyoto Univ., 17 (1977) 19-21. Zbl0353.13017MR450259
  13. [13] B. Singh: Effect of a permissible blowing-up on the local Hilbert function. Inventiones math.26 (1974) 201-212. Zbl0266.14005MR352097
  14. [14] J.M. Wahl: Equations defining rational singularities. Ann. Scient. Ec. Norm. Sup.10 (1977) 231-264. Zbl0367.14004MR444655

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