On the discriminant of the Artin component

Ulrich Karras

Compositio Mathematica (1985)

  • Volume: 56, Issue: 1, page 111-129
  • ISSN: 0010-437X

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Karras, Ulrich. "On the discriminant of the Artin component." Compositio Mathematica 56.1 (1985): 111-129. <http://eudml.org/doc/89728>.

@article{Karras1985,
author = {Karras, Ulrich},
journal = {Compositio Mathematica},
keywords = {simultaneous resolution; discriminant of semi-universal; deformation; normal surface singularity; Artin component; rational singularities; Weyl groups},
language = {eng},
number = {1},
pages = {111-129},
publisher = {Martinus Nijhoff Publishers},
title = {On the discriminant of the Artin component},
url = {http://eudml.org/doc/89728},
volume = {56},
year = {1985},
}

TY - JOUR
AU - Karras, Ulrich
TI - On the discriminant of the Artin component
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 56
IS - 1
SP - 111
EP - 129
LA - eng
KW - simultaneous resolution; discriminant of semi-universal; deformation; normal surface singularity; Artin component; rational singularities; Weyl groups
UR - http://eudml.org/doc/89728
ER -

References

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  1. [1] M. Artin: Algebraic construction of Briesknorn's resolutions. J. of Algebra29 (1974) 330-348. Zbl0292.14013MR354665
  2. [2] E. Brieskorn: Singular elements of semi simple algebraic groups. In: Actes Congress Intern. Math.(1970) t.2279-284. Zbl0223.22012MR437798
  3. [3] D. Burns and M. Rapaport: On the Torelli problem for Kählerian K3-surfaces. Ann. Sci. Ecole Norm. Sup.8 (1975) 235-274. Zbl0324.14008
  4. [4] D. Burns and J. Wahl: Local contributions to global deformations of surfaces. Invent. math.26 (1974) 67-88. Zbl0288.14010MR349675
  5. [5] A. Fujuki and S. Nakano: Supplement to on the inverse of monoidal transformations. Publ. Res. Inst. Math. Sci. Kyoto Univ.7 (1972) 637-644. Zbl0234.32019MR294712
  6. [6] E. Horikawa: Algebraic surfaces of general type with small c21. II. Invent. math.37 (1976) 121-155. Zbl0339.14025MR460340
  7. [7] U. Karras: Methoden zur Berechnung von algebraischen Invarianten und zur Konstruktion von Deformationen normaler Flächensingularitäten. Habilitationsschrift Dortmund (1981). 
  8. [8] U. Karras: Normally flat deformations of rational and minimally elliptic singularities. Proc. of Symp. in Pure Math.40(I) (1983) 619-639. Zbl0531.14003MR713098
  9. [9] U. Karras: On pencils of elliptic curves and deformations of minimally elliptic singularities. Math. Ann.247 (1980) 43-65. Zbl0407.14014MR565138
  10. [10] H. Laufer: Deformations of resolutions of two-dimensional singularities. Rice Univ. Zbl0281.32009
  11. [11] H. Laufer: Ambient deformations for exceptional sets in two-manifolds. Invent. math.55 (1979) 1-36. Zbl0509.32010MR553993
  12. [12] H. Laufer: Versal deformations for two-dimensional pseudoconvex manifolds. Annali d. Scuola Norm. Sup. di Pisa7 (1980) 511-521. Zbl0512.32016MR597550
  13. [13] H. Laufer: Lifting cycles to deformations of two-dimensional pseudoconvex manifolds. Trans. of the A.M.S.296 (1981) 183-202. Zbl0512.32017MR613791
  14. [14] L. Lipman: Double point resolutions of deformations of rational singularities. Comp. Math.38 (1979) 37-42. Zbl0405.14010MR523261
  15. [15] O. Riemenschneider: Familien komplexer Räume mit streng pseudoknovexer spezieller Faser. Comm. Math. Helv.51 (1977) 547-565. Zbl0338.32013MR437808
  16. [16] J. Wahl: Vanishing theorems for resolutions of surface singularities. Invent. math.31 (1975) 17-41. Zbl0314.14010MR409470
  17. [17] J. Wahl: Equisingular deformations of normal surface singularities. Ann. of Math.104 (1976), 325-356. Zbl0358.14007MR422270
  18. [18] J. Wahl: Simultaneous resolution of rational singularities. Comp. Math.38 (1979) 43-54. Zbl0412.14008MR523262
  19. [19] J. Wahl: Simultaneous resolution and discriminantal loci. Duke Math. J.46 (1979) 341-375. Zbl0472.14002MR534056

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