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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Milnor fibrations of lattice-isotopic arrangements

Author(s): Richard Randell
Journal: Proc. Amer. Math. Soc. 125 (1997), 3003-3009.
MSC (1991): Primary 52B30; Secondary 57R52
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Abstract | References | Similar articles | Additional information

Abstract: We show that the associated Milnor fibrations are equivalent in a smooth family of arrangements with constant intersection lattice.


References:

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M. Goresky and R. MacPherson, Stratified Morse Theory, Ergeb. Math. Grenzgeb. 3 (14), Springer, Berlin, 1988. MR 90d:57039
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J. Milnor, Singular Points of Complex Hypersurfaces, Ann. Math. Studies 61 (1968), Princeton. MR 39:969
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P. Orlik and L. Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math. 56 (1980), 167-189. MR 81e:32015
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R. Randell, Lattice-isotopic arrangements are topologically isomorphic, Proc. Amer. Math. Soc. 107 (1989), 555-559. MR 90a:57032
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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: 10.1090/S0002-9939-97-04027-6
PII: S 0002-9939(97)04027-6
Received by editor(s): April 8, 1996
Communicated by: Ronald A. Fintushel
Copyright of article: Copyright 1997, American Mathematical Society


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