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On the $C^\infty$ invariance of the canonical classes of certain algebraic surfaces
Authors:
Robert Friedman, Boris Moishezon and John W. Morgan
Journal:
Bull. Amer. Math. Soc. 17 (1987), 283-286
MSC (1985):
Primary 57R55; Secondary 14J15
MathSciNet review:
903733
Full-text PDF
References |
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Additional Information
- 1.
Arnaud
Beauville, Le groupe de monodromie des familles universelles
d’hypersurfaces et d’intersections complètes,
Complex analysis and algebraic geometry (Göttingen, 1985) Lecture
Notes in Math., vol. 1194, Springer, Berlin, 1986, pp. 8–18
(French). MR
855873 (87m:14035), http://dx.doi.org/10.1007/BFb0076991
- 2.
S. Donaldson, Polynomial invariants for smooth 4-manifolds (in preparation).
- 3.
Wolfgang
Ebeling, An arithmetic characterisation of the symmetric monodromy
groups of singularities, Invent. Math. 77 (1984),
no. 1, 85–99. MR 751132
(87b:14001), http://dx.doi.org/10.1007/BF01389136
- 4.
Michael
Hartley Freedman, The topology of four-dimensional manifolds,
J. Differential Geom. 17 (1982), no. 3,
357–453. MR
679066 (84b:57006)
- 5.
Robert
Friedman and John
W. Morgan, Algebraic surfaces and 4-manifolds:
some conjectures and speculations, Bull. Amer.
Math. Soc. (N.S.) 18 (1988), no. 1, 1–19. MR 919651
(89g:57046), http://dx.doi.org/10.1090/S0273-0979-1988-15576-0
- 6.
B.
G. Moishezon, Analogs of Lefschetz theorems for linear systems with
isolated singularities, J. Differential Geom. 31
(1990), no. 1, 47–72. MR 1030665
(91b:14008)
- 1.
- A. Beauville, Le groupe de monodromie des familles universelles d'hypersurfaces et d'intersections complètes, Complex Analysis and Algebraic Geometry (H. Grauert ed.), Lecture Notes in Math., vol. 1194, Springer-Verlag, Berlin and New York, 1986. MR 855873
- 2.
- S. Donaldson, Polynomial invariants for smooth 4-manifolds (in preparation).
- 3.
- W. Ebeling, An arithmetic characterization of the symmetric monodromy groups of singularities, Invent. Math. 77 (1984), 85-99. MR 751132
- 4.
- M. Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982), 357-454. MR 679066
- 5.
- R. Friedman and J. Morgan, Algebraic surfaces and 4-manifolds: Some conjectures and speculations, Bull. Amer. Math. Soc. (N.S.) 18 (1988), 1-19. MR 919651
- 6.
- B. Moishezon, Analogs of Lefschetz theorems for linear systems with isolated singularities (to appear). MR 1030665
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1987-15561-3
PII:
S 0273-0979(1987)15561-3
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