Double point resolutions of deformations of rational singularities

Joseph Lipman

Compositio Mathematica (1979)

  • Volume: 38, Issue: 1, page 37-42
  • ISSN: 0010-437X

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Lipman, Joseph. "Double point resolutions of deformations of rational singularities." Compositio Mathematica 38.1 (1979): 37-42. <http://eudml.org/doc/89391>.

@article{Lipman1979,
author = {Lipman, Joseph},
journal = {Compositio Mathematica},
keywords = {Rational Double Points -Resolution; Versal Deformation Space; Rational Surface Singularity},
language = {eng},
number = {1},
pages = {37-42},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Double point resolutions of deformations of rational singularities},
url = {http://eudml.org/doc/89391},
volume = {38},
year = {1979},
}

TY - JOUR
AU - Lipman, Joseph
TI - Double point resolutions of deformations of rational singularities
JO - Compositio Mathematica
PY - 1979
PB - Sijthoff et Noordhoff International Publishers
VL - 38
IS - 1
SP - 37
EP - 42
LA - eng
KW - Rational Double Points -Resolution; Versal Deformation Space; Rational Surface Singularity
UR - http://eudml.org/doc/89391
ER -

References

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  1. [1] M. Artin: Some numerical criteria for contractibility of curves on algebraic surfaces. Amer. J. Math.84 (1962) 485-496. Zbl0105.14404MR146182
  2. [2] D. Burns, M. Rapoport: On the Torelli problem for Kählerian K-3 surfaces. Ann. Sci. Ecole Norm. Sup.8 (1975) 235-274. Zbl0324.14008MR447635
  3. [3] A. Grothendieck: Local Cohomology. Lecture Notes in Math. no. 41, Springer-Verlag, 1967. Zbl0185.49202MR224620
  4. [4] A. Grothendieck, J. Dieudonné: Éléments de Géometrie Algébrique II, III, III', IV; Publ. Math. IHES nos. 8, 11, 17, 28 (1961-1966). 
  5. [5] R. Hartshorne: Residues and Duality: Lecture Notes in Math. no. 20, Springer-Verlag, 1966. Zbl0212.26101MR222093
  6. [5'] S. Kleiman: Relative duality for quasi-coherent sheaves (Preprint). Zbl0403.14003
  7. [6] H. Laufer: On rational singularities. Amer. J. Math.94 (1972) 597-608. Zbl0251.32002MR330500
  8. [7] J. Lipman: Rational singularities. Publ. Math. IHES no.36 (1969) 195-279. Zbl0181.48903MR276239
  9. [7'] J. Lipman: Desingularization of two-dimensional schemes. Annals of Math.107 (1978) 151-207. Zbl0349.14004MR491722
  10. [8] D.G. Northcott: An introduction to homological algebra, Cambridge University Press, London, 1960. Zbl0116.01401MR118752
  11. [9] J. Wahl: Local cohomology groups for resolutions of singularities. Symposia in Pure Math. vol.30 (1977) 91-94. Zbl0371.14004MR447232
  12. [10] J. Wahl: Simultaneous resolution of rational singularities. Comp. Math.38 (1979) 43-54. Zbl0412.14008MR523262

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