On infinitesimal deformations of rational surface singularities

Kurt Behnke; Horst Knörrer

Compositio Mathematica (1987)

  • Volume: 61, Issue: 1, page 103-127
  • ISSN: 0010-437X

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Behnke, Kurt, and Knörrer, Horst. "On infinitesimal deformations of rational surface singularities." Compositio Mathematica 61.1 (1987): 103-127. <http://eudml.org/doc/89812>.

@article{Behnke1987,
author = {Behnke, Kurt, Knörrer, Horst},
journal = {Compositio Mathematica},
keywords = {deformations of an isolated singularity; tangent space; rational surface singularity; exceptional divisor},
language = {eng},
number = {1},
pages = {103-127},
publisher = {Martinus Nijhoff Publishers},
title = {On infinitesimal deformations of rational surface singularities},
url = {http://eudml.org/doc/89812},
volume = {61},
year = {1987},
}

TY - JOUR
AU - Behnke, Kurt
AU - Knörrer, Horst
TI - On infinitesimal deformations of rational surface singularities
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 61
IS - 1
SP - 103
EP - 127
LA - eng
KW - deformations of an isolated singularity; tangent space; rational surface singularity; exceptional divisor
UR - http://eudml.org/doc/89812
ER -

References

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  1. Artin, M.: On isolated rational singularities of surfaces. Amer. J. of Math.88 (1966) 129-136. Zbl0142.18602MR199191
  2. Behnke, K. and Riemenschneider, O.: Diedersingularitäten. Abh. Math. Sem. Univ. Hamburg47, (1978) 210-227. Zbl0401.32011MR504125
  3. Behnke, K. and Riemenschneider, O.: Infinitesimale Deformationen von Diedersingularitäten. Manuscripta Math.20 (1977) 377-400,correction, ibid. 24, (1978) 81. Zbl0376.32015MR447239
  4. Behnke, K., Kahn, C. and Riemenschneider, O.: Infinitesimal deformations of quotient surface singularities (in preparation). Zbl0668.32020
  5. Brieskorn, E.: Rationale Singularitäten komplexer Flächen. Inv. Math.4 (1968) 336-358. Zbl0219.14003MR222084
  6. Grauert, H. and Remmert, R.: Theorie der Steinschen Räume. Grundlehren der mathematischen Wissenschaften227. Springer Verlag (1977) 234-240. Zbl0379.32001MR513229
  7. Kahn, C.: Die infinitesimalen Deformationen der zweidimensionalen Quotientensingularitäten (nach Polyedergruppen). Diplomarbeit, Hamburg (1984). 
  8. Karras, U.: Normally flat deformations of rational and minimally elliptic surface singularities. Proc. of Symp. Pure Math.40 (1983) 619-639. Zbl0531.14003MR713098
  9. Laufer, H.: Taut twodimensional singularities. Math. Ann.205 (1973) 131-164. Zbl0281.32010MR333238
  10. Pinkham, H.: Deformations of quotient surface singularities. Proc. of Symp. Pure Math.30 (1977) 69-71. Zbl0391.14006MR441969
  11. Pinkham, H.: Singularités rationelles de surfaces. Appendice in Seminaire sur les singularités des surfaces. Lecture Notes in Mathematics777. Springer Verlag (1980) 147-178. Zbl0459.14009MR579026
  12. Pourcin, G.: Déformations des singularités isolées. Astérisque16 (1974) 161-173. Zbl0292.32014MR369742
  13. Riemenschneider, O.: Deformationen von Quotientensingularitäten (nach zyklischen Gruppen). Math. Ann.209 (1974) 211-248. Zbl0275.32010MR367276
  14. Schlessinger, M.: Rigidity of quotient singularities. Inv. Math.14 (1971) 17-26. Zbl0232.14005MR292830
  15. Wahl, J.: Vanishing theorems for resolutions of normal surface singularities. Inv. Math.31 (1975) 17-41. Zbl0314.14010MR409470
  16. Wahl, J.: Simultaneous resolution and discriminantal loci. Duke Math. J.46 (1979) 341-375. Zbl0472.14002MR534056

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