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Deformations of canonical singularities
Author(s):
Yujiro
Kawamata
Journal:
J. Amer. Math. Soc.
12
(1999),
85-92.
MSC (1991):
Primary 14B07, 14E30, 14F17
MathSciNet review:
1631527
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Abstract:
We prove that small deformations of canonical singularities are canonical.
References:
- [I]
- S. Ishii, Small deformations of normal singularities, Math. Ann. 275 (1986), 139-148. MR 87i:14003; MR 88c:14004
- [KMM]
- Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model problem, Adv. St. Pure Math. 10 (1987), 283-360. MR 89e:14015
- [Si]
- Y.-T. Siu, Invariance of plurigenera, preprint, 1997.
- [St]
- J. Stevens, On canonical singularities as total spaces of deformations, Abh. Math. Sem. Univ. Hamburg 58 (1988), 275-283. MR 91c:14007
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Additional Information:
Yujiro
Kawamata
Affiliation:
Department of Mathematical Sciences, University of Tokyo, Komaba, Meguro, Tokyo, 153-8914, Japan
Email:
kawamata@ms.u-tokyo.ac.jp
DOI:
10.1090/S0894-0347-99-00285-4
PII:
S 0894-0347(99)00285-4
Keywords:
Canonical singularity,
deformation
Received by editor(s):
January 31, 1998
Copyright of article:
Copyright
1999,
American Mathematical Society
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