Differentiable structures of elliptic surfaces with cyclic fundamental group

Martin Lübke; Christian Okonek

Compositio Mathematica (1987)

  • Volume: 63, Issue: 2, page 217-222
  • ISSN: 0010-437X

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Lübke, Martin, and Okonek, Christian. "Differentiable structures of elliptic surfaces with cyclic fundamental group." Compositio Mathematica 63.2 (1987): 217-222. <http://eudml.org/doc/89859>.

@article{Lübke1987,
author = {Lübke, Martin, Okonek, Christian},
journal = {Compositio Mathematica},
keywords = {cyclic fundamental group; elliptic surfaces; diffeomorphism type; homeomorphism type},
language = {eng},
number = {2},
pages = {217-222},
publisher = {Martinus Nijhoff Publishers},
title = {Differentiable structures of elliptic surfaces with cyclic fundamental group},
url = {http://eudml.org/doc/89859},
volume = {63},
year = {1987},
}

TY - JOUR
AU - Lübke, Martin
AU - Okonek, Christian
TI - Differentiable structures of elliptic surfaces with cyclic fundamental group
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 63
IS - 2
SP - 217
EP - 222
LA - eng
KW - cyclic fundamental group; elliptic surfaces; diffeomorphism type; homeomorphism type
UR - http://eudml.org/doc/89859
ER -

References

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  1. [D1] S.K. Donaldson: La topologie differentielle des surfaces complexes. C.R. Acad. Sc. Paris t.301, Série 1 No. 6, (1985) 317-320. Zbl0584.57010MR803227
  2. [D2] S.K. Donaldson: Irrationality and the h-cobordism conjecture. Preprint (1986). Zbl0631.57010MR892034
  3. [Dv] I. Dolgachev: Algebraic surfaces with q = pg = 0. In: Algebraic surfaces, proceedings of 1977 C.I.M.E.. Cortona, Liquori, Napoli (1981) 97-215. 
  4. [F] M.H. Freedman: The topology of four dimensional mainfolds. J. Diff. Geom.17 (1982) 357-453. Zbl0528.57011MR679066
  5. [FM] R. Friedman and J. Morgan: On the diffeomorphism type of certain elliptic surfaces. Preprint (1985). 
  6. [HK] I. Hambleton and M. Kreck: On the classification of topological 4-manifolds with finite fundamental group. Preprint, Mainz (1986). Zbl0616.57009MR928299
  7. [LO] M. Lübke and C. Okonek: Stable bundles on regular elliptic surfaces. To appear in J. reine angew. Math. Zbl0608.14010MR895282
  8. [O] C. Okonek: Fake Enriques surfaces. Preprint, Göttingen (1987). Zbl0617.14023MR976584
  9. [OV] C. Okonek and A. Van de Ven: Stable bundles and differentiable structures on certain elliptic surfaces. Invent. Math.86 (1986) 357-370. Zbl0613.14018MR856849
  10. [U] M. Ue: On the diffeomorphism types of elliptic surfaces with multiple fibres. Invent. Math.84 (1986) 633-643. Zbl0595.14028MR837531

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