Uniqueness of crepant resolutions and symplectic singularities

Baohua Fu[1]; Yoshinori Namikawa[2]

  • [1] Université de Nice, Parc Valrose, Laboratoire J.A. Dieudonné, 06108 Nice cedex 02 (France)
  • [2] Departement of Mathematics, Kyoto University, Graduate School of Science, Kiat-Shirakawa Oiwake-cho, Kyoto 606-8502 (Japon)

Annales de l’institut Fourier (2004)

  • Volume: 54, Issue: 1, page 1-19
  • ISSN: 0373-0956

Abstract

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We prove the uniqueness of crepant resolutions for some quotient singularities and for some nilpotent orbits. The finiteness of non-isomorphic symplectic resolutions for 4- dimensional symplectic singularities is proved. We also give an example of a symplectic singularity which admits two non-equivalent symplectic resolutions.

How to cite

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Fu, Baohua, and Namikawa, Yoshinori. "Uniqueness of crepant resolutions and symplectic singularities." Annales de l’institut Fourier 54.1 (2004): 1-19. <http://eudml.org/doc/116105>.

@article{Fu2004,
abstract = {We prove the uniqueness of crepant resolutions for some quotient singularities and for some nilpotent orbits. The finiteness of non-isomorphic symplectic resolutions for 4- dimensional symplectic singularities is proved. We also give an example of a symplectic singularity which admits two non-equivalent symplectic resolutions.},
affiliation = {Université de Nice, Parc Valrose, Laboratoire J.A. Dieudonné, 06108 Nice cedex 02 (France); Departement of Mathematics, Kyoto University, Graduate School of Science, Kiat-Shirakawa Oiwake-cho, Kyoto 606-8502 (Japon)},
author = {Fu, Baohua, Namikawa, Yoshinori},
journal = {Annales de l’institut Fourier},
keywords = {crepant resolutions; symplectic singularities; symplectic manifold; crepant resolution},
language = {eng},
number = {1},
pages = {1-19},
publisher = {Association des Annales de l'Institut Fourier},
title = {Uniqueness of crepant resolutions and symplectic singularities},
url = {http://eudml.org/doc/116105},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Fu, Baohua
AU - Namikawa, Yoshinori
TI - Uniqueness of crepant resolutions and symplectic singularities
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 1
SP - 1
EP - 19
AB - We prove the uniqueness of crepant resolutions for some quotient singularities and for some nilpotent orbits. The finiteness of non-isomorphic symplectic resolutions for 4- dimensional symplectic singularities is proved. We also give an example of a symplectic singularity which admits two non-equivalent symplectic resolutions.
LA - eng
KW - crepant resolutions; symplectic singularities; symplectic manifold; crepant resolution
UR - http://eudml.org/doc/116105
ER -

References

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