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Milnor fibrations
of lattice-isotopic arrangements


Author: Richard Randell
Journal: Proc. Amer. Math. Soc. 125 (1997), 3003-3009
MSC (1991): Primary 52B30; Secondary 57R52
DOI: https://doi.org/10.1090/S0002-9939-97-04027-6
MathSciNet review: 1415364
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Abstract: We show that the associated Milnor fibrations are equivalent in a smooth family of arrangements with constant intersection lattice.


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

  • [1] M. Goresky and R. MacPherson, Stratified Morse Theory, Ergeb. Math. Grenzgeb. 3 (14), Springer, Berlin, 1988. MR 90d:57039
  • [2] J. Mather, Notes on topological stability, Harvard University, 1970, mimeo-graphed notes.
  • [3] J. Milnor, Singular Points of Complex Hypersurfaces, Ann. Math. Studies 61 (1968), Princeton. MR 39:969
  • [4] P. Orlik and L. Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math. 56 (1980), 167-189. MR 81e:32015
  • [5] R. Randell, Lattice-isotopic arrangements are topologically isomorphic, Proc. Amer. Math. Soc. 107 (1989), 555-559. MR 90a:57032
  • [6] G. Rybnikov, On the fundamental group of a complex hyperplane arrangement, preprint, 1993.
  • [7] H. Whitney, Tangents to an analytic variety, Ann. of Math. 81 (1965), 469-549. MR 33:745

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Additional Information

Richard Randell
Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242-0001
Email: randell@math.uiowa.edu

DOI: https://doi.org/10.1090/S0002-9939-97-04027-6
Received by editor(s): April 8, 1996
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 1997 American Mathematical Society

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