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