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Singularités symplectiques
Author(s):
Stéphane
Druel
Journal:
J. Algebraic Geom.
13
(2004),
427-439.
Posted:
December 8, 2003
MathSciNet review:
2047675
Retrieve article in:
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Abstract |
References |
Additional information
Abstract:
We classify isolated symplectic singularities of dimension greater or equal to 6 such that the normalized blow-up of the singular point is a resolution of singularities whose exceptional locus is a reduced simple normal crossing divisor with at least two irreducible components. They are isomorphic to the quotient singularities of type  .
References:
-
- [Ar68]
- M. Artin, On the solutions of analytic equations, Invent. Math. 5 (1968), 277-291.
- [Be00]
- A. Beauville, Symplectic singularities, Invent. Math. 139 (2000), 541-549.
- [CF01]
- F. Campana, H. Flenner, Contact singularities à paraître dans Manuscripta Math. 108 (2002), 529-541.
- [De01]
- O. Debarre, Higher-dimensional algebraic geometry, Universitext, Springer-Verlag, 2001.
- [Fl88]
- H. Flenner, Extendability of differential forms on non-isolated singularities, Invent. Math. 94 (1988), 317-326.
- [Fu87]
- T. Fujita, On polarized manifolds whose adjoint bundles are not semipositive, Algebraic geometry, Sendai 1985, Adv. Stud. Pure Math. 10, 167-178, 1987.
- [Gr66]
- A. Grothendieck, Eléments de géométrie algébrique III, Inst. Hautes Etudes Sci. Publ. Math. 11, 1966.
- [Gr71]
- A. Grothendieck, Revêtements étales et groupe fondamental, Lecture Notes in Math. 224, Springer-Verlag, 1971.
- [KO73]
- S. Kobayashi, T. Ochiai, Characterization of complex projective spaces and hyperquadrics, J. Math. Kyoto Univ. 13 (1973), 31-47.
- [Mo82]
- S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math. 116 (1982), 133-176.
- [Od88]
- T. Oda, Convex Bodies and Algebraic Geometry 15, Springer-Verlag, 1988.
- [Wi89]
- J. Wisniewski, Length of extremal rays and generalized adjonction, Math. Z. 200 (1989), 409-427.
- [Wi90]
- J. Wisniewski, On a conjecture of Mukai, Manuscripta Math. 68 (1990), 135-141.
- [Wi91]
- J. Wisniewski, On contractions of extremal rays on Fano manifolds, J. Reine Angew. Math. 417 (1991), 141-157.
Additional Information:
Stéphane
Druel
Affiliation:
Institut Fourier, UMR 5582 du CNRS, Université Joseph Fourier, BP 74, 38402 Saint Martin d'Hères, France
Email:
druel@mozart.ujf-grenoble.fr
DOI:
10.1090/S1056-3911-03-00356-4
PII:
S 1056-3911(03)00356-4
Received by editor(s):
January 4, 2002
Posted:
December 8, 2003
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