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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
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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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