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Lifting homeomorphisms of a complex surface to its normalization


Author: William A. Adkins
Journal: Proc. Amer. Math. Soc. 109 (1990), 451-453
MSC: Primary 32B10; Secondary 32C20, 32C40
DOI: https://doi.org/10.1090/S0002-9939-1990-1016999-2
MathSciNet review: 1016999
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Abstract: It is proved that any homeomorphism of a complex analytic surface lifts to a homeomorphism of the normalization.


References [Enhancements On Off] (What's this?)

  • [1] W. A. Adkins and J. W. Leahy, A topological criterion for local optimality of weakly normal complex spaces, Math. Ann. 243 (1979), 115-123. MR 543721 (80i:32038)
  • [2] D. Mumford, The topology of normal singularities of an algebraic surface, Publ. Inst. Hautes Et. Sci. No. 9, Paris (1960).
  • [3] J. H. M. Steenbrink and J. Stevens, Topological invariance of the weight filtration, Nederl. Akad. Wetensch. Indag. Math. 46 (1984), 63-76. MR 748980 (86c:14005)

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DOI: https://doi.org/10.1090/S0002-9939-1990-1016999-2
Article copyright: © Copyright 1990 American Mathematical Society

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