On the diffeomorphism types of certain algebraic surfaces. I
Robert Friedman and John W. Morgan
Source: J. Differential Geom. Volume 27, Number 2
(1988), 297-369.
First Page:
Show
Hide
Related Works:
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214441784
Mathematical Reviews number (MathSciNet): MR925124
Zentralblatt MATH identifier: 0669.57016
References
[1] A. Andreotti and Frankel, The second Lefschetz theorem on hyperplane sections, Global Analysis (D. C. Spencer & S. Iyanaga, eds.) University of Tokyo Press, Tokyo, 1969, 1-20.
Zentralblatt MATH: 0191.19301
Mathematical Reviews (MathSciNet): MR271106
[2] W. Barth, C. Peters and A. Van de Ven, Compact complex surfaces, Springer, Berlin, 1984.
Zentralblatt MATH: 0718.14023
Mathematical Reviews (MathSciNet): MR749574
[3] E. Bombieri, Canonical models of surfaces of general type, Inst. Hautes Etudes Sci. Publ. 42 (1973) 171-219.
Zentralblatt MATH: 0259.14005
Mathematical Reviews (MathSciNet): MR318163
Digital Object Identifier: doi:10.1007/BF02685880
[4] N. Bourbaki, Groupes et algebres de Lie, Ch. 4-6, Hermann, Paris, 1968.
Zentralblatt MATH: 0483.22001
Mathematical Reviews (MathSciNet): MR240238
[5] E. Brieskorn, Uber Holomorphe Pn-Bundel auf PY, Math. Ann. 157 (1965) 343-357.
Zentralblatt MATH: 0128.17003
Mathematical Reviews (MathSciNet): MR230335
Digital Object Identifier: doi:10.1007/BF02028245
[6] I. Dolgachev, Algebraic surfaces with pg = q = 0, in Algebraic Surfaces, CIME 1977, Liguori Napoli, 1981, 97-215.
[7] S. Donaldson, Anti-self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. 50 (1985) 1-26.
Zentralblatt MATH: 0529.53018
Mathematical Reviews (MathSciNet): MR765366
Digital Object Identifier: doi:10.1112/plms/s3-50.1.1
[8] S. Donaldson, La topologie differentielle des surfaces complexes, C. R. Acad. Sci. Paris Ser. I Math. 301 (1985) 317-320.
Zentralblatt MATH: 0584.57010
Mathematical Reviews (MathSciNet): MR803227
[9] S. Donaldson, Connections, cohomology and the intersection forms of 4-manifolds, J. Differential Geometry 24 (1986) 275-341.
Zentralblatt MATH: 0635.57007
Mathematical Reviews (MathSciNet): MR868974
Project Euclid: euclid.jdg/1214440551
[10] S. Donaldson, Irrationality and the h-cobordism conjecture, J. Differential Geometry 26 (1987) 141-168.
Zentralblatt MATH: 0631.57010
Mathematical Reviews (MathSciNet): MR892034
Project Euclid: euclid.jdg/1214441179
[11] O. Forster and K. Knorr, Uber die Deformationen von Vektorraumbundeln auf kompakten komplexen Raumen, Math. Ann. 209 (1974) 291-346.
Zentralblatt MATH: 0272.32004
Mathematical Reviews (MathSciNet): MR374495
Digital Object Identifier: doi:10.1007/BF01351725
[12] D. Freed and K. Uhlenbeck, Instantons and four-manifolds, Math. Sci. Res. Inst. Publ., Springer, New York, 1984.
Zentralblatt MATH: 0559.57001
Mathematical Reviews (MathSciNet): MR757358
[13] M. H. Freedman, The topology of four-dimensional manifolds, J. Differential Geometry 17 (1982) 357-454.
Zentralblatt MATH: 0528.57011
Mathematical Reviews (MathSciNet): MR679066
Project Euclid: euclid.jdg/1214437136
[14] R. Friedman and J. Morgan, On the diffeomorphism types of certain elliptic surfaces, Geometry and Topology: Manifolds, Varieties, and Knots, Marcel Dekker, New York, 1987.
Zentralblatt MATH: 0611.57018
Mathematical Reviews (MathSciNet): MR873289
[15] P. Griffiths and J. Harris, Principles of algebraic geometry, Wiley, New York, 1978.
Zentralblatt MATH: 0836.14001
Mathematical Reviews (MathSciNet): MR507725
[16] F. Hirzebruch, Topological methods in algebraic geometry, Springer, Berlin, 1978.
Zentralblatt MATH: 0376.14001
Mathematical Reviews (MathSciNet): MR1335917
[17] K. Kodaira, On compact analytic surfaces. II--III, Ann. of Math. (2) 77 (1963) 563-626 and 78 (1963)1-40.
Zentralblatt MATH: 0118.15802
Mathematical Reviews (MathSciNet): MR184257
Digital Object Identifier: doi:10.2307/1970500
[18] F. Hirzebruch, On the structure of compact complex analytic surfaces. I, Amer. J. Math. 86 (1964) 751-798.
Zentralblatt MATH: 0137.17501
Mathematical Reviews (MathSciNet): MR187255
Digital Object Identifier: doi:10.2307/2373157
JSTOR: links.jstor.org
[19] F. Hirzebruch, Homotopy K3 surfaces, Essays on Topology and Related Topics, Mem. dedies a Georges de Rham, Springer, Berlin, 1970, 58-69.
Zentralblatt MATH: 0212.28403
[20] R. Mandelbaum, Studies in algebraic topology, Advances in Math. Suppl. Study 5 (1979) 143-166.
Zentralblatt MATH: 0483.14004
Mathematical Reviews (MathSciNet): MR527248
[21] M. Maruyama, Moduli of stable sheaves. II, J. Math. Kyoto Univ. 18 (1978) 557-614.
Zentralblatt MATH: 0395.14006
Mathematical Reviews (MathSciNet): MR509499
Project Euclid: euclid.kjm/1250522511
[22] J. Milnor, On simply connected 4-manifolds, Sympos. Internac. Topologia Algebraica, Univ. de Mexico, 1958, 122-128.
Zentralblatt MATH: 0105.17204
Mathematical Reviews (MathSciNet): MR103472
[23] B. Moishezon, Complex surfaces and connected sums of complex projective planes, Lecture Notes in Math., Vol. 603, Springer, Berlin, 1977.
Zentralblatt MATH: 0392.32015
Mathematical Reviews (MathSciNet): MR491730
[24] C. Okonek, M. Schneider and H. Spindler, Vector bundles on complex projective spaces, Progress in Math., Vol. 3, Birkhauser, Boston, 1980.
Zentralblatt MATH: 0438.32016
Mathematical Reviews (MathSciNet): MR561910
[25] C. Okonek and A. Van de Ven, Stable vector bundles and differentiable structures on certain elliptic surfaces, Invent. Math. 86 (1986) 357-370.
Zentralblatt MATH: 0613.14018
Mathematical Reviews (MathSciNet): MR856849
Digital Object Identifier: doi:10.1007/BF01389075
[26] M. Schlessinger, Functors of Artin rings, Trans. Amer. Math. Soc. 130 (1968) 208-222.
Zentralblatt MATH: 0167.49503
Mathematical Reviews (MathSciNet): MR217093
Digital Object Identifier: doi:10.2307/1994967
JSTOR: links.jstor.org
[27] R. L. E. Schwarzenberger, Vector bundles on algebraic surfaces, Proc. London Math. Soc. 11 (1961) 601-622.
Zentralblatt MATH: 0212.26003
Mathematical Reviews (MathSciNet): MR137711
Digital Object Identifier: doi:10.1112/plms/s3-11.1.601
[28] J.-P. Serre, Cours d'arithmetique, Presses Univ. de France, Paris, 1970.
Zentralblatt MATH: 0225.12002
Mathematical Reviews (MathSciNet): MR255476
[29] D. Sullivan, Infinitesimal computations in topology, Inst. Hautes Etudes Sci. Publ. Math. 47 (1977) 269-332
Zentralblatt MATH: 0374.57002
Mathematical Reviews (MathSciNet): MR646078
Digital Object Identifier: doi:10.1007/BF02684341
[30] C. Taubes, Self-dual Yang-Mills connections on non-self-dual 4-manifolds, J. Differential Geometry 17 (1982) 139-170.
Zentralblatt MATH: 0484.53026
Mathematical Reviews (MathSciNet): MR658473
Project Euclid: euclid.jdg/1214436701
[31] K. Uhlenbeck, Removable singularities in Yang-Mills fields, Comm Math. Phys. 83 (1982) 11-29.
Zentralblatt MATH: 0491.58032
Mathematical Reviews (MathSciNet): MR648355
Digital Object Identifier: doi:10.1007/BF01947068
Project Euclid: euclid.cmp/1103920742
[32] C. T. C. Wall, Diffeomorphisms of 4-manifolds, J. London Math. Soc. 39 (1964) 131-140.
Zentralblatt MATH: 0121.18101
Mathematical Reviews (MathSciNet): MR163323
Digital Object Identifier: doi:10.1112/jlms/s1-39.1.131
[33] C. T. C. Wall, On simply connected 4-manifolds, J. London Math. Soc. 39 (1964) 141-149.
Zentralblatt MATH: 0131.20701
Mathematical Reviews (MathSciNet): MR163324
Digital Object Identifier: doi:10.1112/jlms/s1-39.1.141
[34] S. T. Yau, On the Ricci curvature of compact Kahler manifolds and the Monge-Ampere equation, Comm. Pure Appl. Math. 31 (1978) 339-411.
Zentralblatt MATH: 0369.53059
Mathematical Reviews (MathSciNet): MR480350
Digital Object Identifier: doi:10.1002/cpa.3160310304
Journal of Differential Geometry
