Equations defining rational singularities

Jonathan M. Wahl

Annales scientifiques de l'École Normale Supérieure (1977)

  • Volume: 10, Issue: 2, page 231-263
  • ISSN: 0012-9593

How to cite

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Wahl, Jonathan M.. "Equations defining rational singularities." Annales scientifiques de l'École Normale Supérieure 10.2 (1977): 231-263. <http://eudml.org/doc/81995>.

@article{Wahl1977,
author = {Wahl, Jonathan M.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {2},
pages = {231-263},
publisher = {Elsevier},
title = {Equations defining rational singularities},
url = {http://eudml.org/doc/81995},
volume = {10},
year = {1977},
}

TY - JOUR
AU - Wahl, Jonathan M.
TI - Equations defining rational singularities
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1977
PB - Elsevier
VL - 10
IS - 2
SP - 231
EP - 263
LA - eng
UR - http://eudml.org/doc/81995
ER -

References

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  1. [1] M. ARTIN, Algebraic Construction of Brieskorn's Resolutions (J. Alg., Vol. 29, 1974, pp. 330-348). Zbl0292.14013MR50 #7143
  2. [2] M. ARTIN, On Isolated Rational Singularities of Surfaces (Amer. J. Math., Vol. 88, 1966, pp. 129-137). Zbl0142.18602MR33 #7340
  3. [3] H. BASS, On the Ubiquity of Gorenstein Rings (Math. Z., Vol. 82, 1963, pp. 8-28). Zbl0112.26604MR27 #3669
  4. [4] B. BENNETT, Normally Flat Deformations (Trans. A.M.S., Vol. 225, 1977, pp. 1-58). Zbl0349.32014MR58 #16656
  5. [5] E. BRIESKORN, Rationale Singularitäten komplexer Flächen (Inv. Math., Vol. 4, 1968, pp. 336-358). Zbl0219.14003MR36 #5136
  6. [6] J. A. EAGON and M. HOCHSTER, Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci (Amer. J. Math., Vol. 93, 1971, pp. 1020-1058). Zbl0244.13012MR46 #1787
  7. [7] J. A. EAGON and D. G. NORTHCOTT, Ideals defined by Matrices and a Certain Complex Associated with Them (Proceedings of the Royal Society, Vol. 269, 1967, pp. 147-172). Zbl0106.25603
  8. [8] R. HARTSHORNE and A. OGUS, On the Factoriality of Local Rings of Small Embedding Codimension (Comm. in Alg. Vol. 1 (5), 1974, pp. 415-437). Zbl0286.13013MR50 #322
  9. [9] J. HERZOG und E. KUNZ, Die kanonische Modul eines Cohen-Macaulay-Rings, (Lecture Notes in Mathematics, Vol. 238, Springer, 1971). Zbl0231.13009MR54 #304
  10. [10] D. KIRBY, The Structure of an Isolated Multiple Point of a Surface, II, (Proc. London Math. Soc., Vol. 7, 1957, pp. 1-28). Zbl0079.37003MR19,319c
  11. [11] S. KLEIMAN and J. LANDOLFI, Geometry and Deformation of Special Schubert Varieties (Comp. Math., Vol. 23, 1971, pp. 407-434). Zbl0238.14006MR47 #3405
  12. [12] H. LAUFER, On Minimally Elliptic Singularities (to appear, Amer. J. Math.). Zbl0384.32003
  13. [13] H. LAUFER, Taut Two-dimensional Singularities (Math. Ann., Vol. 205, 1973, pp. 131-164). Zbl0281.32010MR48 #11563
  14. [14] J. LIPMAN, Rational Singularities with Applications… (Publ. Math. I.H.E.S., No. 36, 1969, pp. 195-279). Zbl0181.48903MR43 #1986
  15. [15] D. MUMFORD, Lectures on Curves on an Algebraic Surface (Annals of Math. Studies Vol. 59, Princeton, 1966). Zbl0187.42701MR35 #187
  16. [16] P. ORLIK and P. WAGREICH, Isolated Singularities of Algebraic Surfaces with C*-Action (Ann. of Math., Vol. 93, 1971, pp. 205-228). Zbl0212.53702MR44 #1662
  17. [17] O. RIEMENSCHNEIDER, Deformationen von Quotientensingularitäten (Math. Ann., Vol. 209, 1974, pp. 211-248). Zbl0275.32010MR51 #3518
  18. [18] J. SALLY, On the Associated Graded Ring of a Local Cohen-Macaulay Ring (preprint). 
  19. [19] J.-P. SERRE, Algèbres Locales-Multiplicités (Lecture Notes in Mathematics Vol. 11, Springer, 1965). Zbl0142.28603MR34 #1352
  20. [20] G. TJURINA, Absolute Isolatedness of Rational Singularities and Triple Rational Points (Functional Analysis and its Applications, Vol. 2, 1968, pp. 324-332). Zbl0176.50804MR39 #7136
  21. [21] J. WAHL, Equisingular Deformations of Plane Algebroid Curves (Trans. A.M.S., Vol. 193, 1974, pp. 143-170). Zbl0294.14007MR54 #7460
  22. [22] J. WAHL, Local Cohomology Groups for Resolutions of Singularities (Proceedings of Symposia in Pure Mathematics, Vol. 30, 1976, pp. 91-94). Zbl0371.14004MR56 #5547

Citations in EuDML Documents

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  1. Judith D. Sally, Tangent cones at Gorenstein singularities
  2. Jonathan M. Wahl, Simultaneous resolution of rational singularities
  3. Michel Vaquié, Résolution simultanée d'une famille de singularités rationnelles de surface normale
  4. H. Pinkham, Singularités rationnelles de surfaces
  5. Kurt Behnke, Jan Arthur Christophersen, Hypersurface sections and obstructions (rational surface singularities)
  6. Trond Stølen Gustavsen, Runar Ile, Representation theory for log-canonical surface singularities

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