On the differentiable structure of certain algebraic surfaces

A. Van de Ven

Séminaire Bourbaki (1985-1986)

  • Volume: 28, page 299-312
  • ISSN: 0303-1179

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Van de Ven, A.. "On the differentiable structure of certain algebraic surfaces." Séminaire Bourbaki 28 (1985-1986): 299-312. <http://eudml.org/doc/110068>.

@article{VandeVen1985-1986,
author = {Van de Ven, A.},
journal = {Séminaire Bourbaki},
keywords = {Yang-Mills theory; differentiable 4-manifolds; algebraic surfaces; topological 4-manifold with infinitely many inequivalent differentiable structures},
language = {eng},
pages = {299-312},
publisher = {Société Mathématique de France},
title = {On the differentiable structure of certain algebraic surfaces},
url = {http://eudml.org/doc/110068},
volume = {28},
year = {1985-1986},
}

TY - JOUR
AU - Van de Ven, A.
TI - On the differentiable structure of certain algebraic surfaces
JO - Séminaire Bourbaki
PY - 1985-1986
PB - Société Mathématique de France
VL - 28
SP - 299
EP - 312
LA - eng
KW - Yang-Mills theory; differentiable 4-manifolds; algebraic surfaces; topological 4-manifold with infinitely many inequivalent differentiable structures
UR - http://eudml.org/doc/110068
ER -

References

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  1. [B1] R. Barlow - A simply connected surface of general type with pg = 0 , Inv. Math.79, 293-301 (1985). Zbl0561.14015MR778128
  2. [BPV] W. Barth, C. Peters, A. Van De Ven - Compact complex surfaces, Erg. Math. (3) 4, Springer (1984). Zbl0718.14023MR749574
  3. [Dg] I. Dolgacev - Algebraic surfaces with pg = q = 0 , in Algebraic Surfaces, C.I.M.E., 97-115 (1977). 
  4. [Do 1] S.K. Donaldson - An application of gauge theory to the topology of 4-manifolds, J. Diff. Geom.18, 279-315 (1983). Zbl0507.57010MR710056
  5. [Do 2] S.K. Donaldson - Anti-self-dual yang - Mills connections over complex algebraic surfaces and stable vector bundles, Proc. Lond. Math. Soc.50, 1-26 (1985). Zbl0529.53018MR765366
  6. [Do 3] S.K. Donaldson - La topologie différentielle des surfaces complexes, C.R. Acad. Sc. Paris (1), 6, 317-320 (1985). Zbl0584.57010MR803227
  7. [Do 4] S.K. Donaldson - Connections, cohomology and the intersection form of 4-manifolds, Preprint Oxford (1985). MR868974
  8. [Do 5] S.K. Donaldson - The orientation of yang - Mills moduli spaces and 4-manifold topology, Preprint Oxford (1986). MR910015
  9. [Do 6] S.K. Donaldson - Irrationality and the h-cobordism conjecture, Preprint Oxford (1986). MR892034
  10. [FU] D.S. Freed, K.K. Uhlenbeck - Instantons and four-manifolds, Math. Sciences Research Institute Publications, v. 1, Springer (1984). Zbl0559.57001MR757358
  11. [Fr] M. Freedman - The topology of four-dimensional manifolds, J. Diff. Geom., 17, 357-454 (1982). Zbl0528.57011MR679066
  12. [FM] R. Friedman, J. Morgan - On the diffeomorphism types of certain algebraic surfaces, Preprint Columbia U., New York (1986). 
  13. [GH] Ph. Griffiths, J. Harris - Principles of algebraic geometry, J. Wiley and Sons, New York (1978). Zbl0836.14001MR507725
  14. [Ma] M. Maruyama - Moduli of stable sheaves II, J. Math. Kyoto University18, 557-614 (1978). Zbl0395.14006MR509499
  15. [Mi] Y. Miyaoka - Kähler metrics on elliptic surfaces, Proc. Japan Acad.50, 533-536 (1974). Zbl0354.32011MR460730
  16. [Mo] E. Moise - Affine Structures in 3-manifolds I - V, Annals of Math.54 (1951), 55 (1952). 
  17. [OV] C. Okonek, A. Van De Ven - Stable vector bundles and differentiable structures on certain elliptic surfaces, to appear in Inv. Math. Zbl0613.14018
  18. [Se] J.-P. Serre - Cours d'arithmétique, Presses Univ. de France, Paris (1970). Zbl0225.12002MR255476
  19. [Sp] E.H. Spanier - Algebraic Topology, McGraw-Hill (1966). Zbl0145.43303MR210112
  20. [Su] D. Sullivan - Infinitesimal computations in topology, Publ. Math. I.H.E.S.47, 267-332 (1977). Zbl0374.57002MR646078
  21. [Wa] C.T.C. Wall - Diffeomorphisms of 4-manifolds, J. London Math. Soc.39, 131-140 (1964). Zbl0121.18101MR163323

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