Diffeomorphic types of the complements of arrangements of hyperplanes

Jiang, Tan; Yau, Stephen S.-T.

Jiang, Tan ; Yau, Stephen S.-T.

Compositio Mathematica, Tome 92 (1994) no. 2, pp. 133-155.

MR Zbl | 2 citations dans Numdam

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     title = {Diffeomorphic types of the complements of arrangements of hyperplanes},
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     volume = {92},
     number = {2},
     year = {1994},
     mrnumber = {1283226},
     zbl = {0828.57018},
     language = {en},
     url = {http://www.numdam.org/item/CM_1994__92_2_133_0/}
}

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Jiang, Tan; Yau, Stephen S.-T. Diffeomorphic types of the complements of arrangements of hyperplanes. Compositio Mathematica, Tome 92 (1994) no. 2, pp. 133-155. http://www.numdam.org/item/CM_1994__92_2_133_0/

Bibliographie
Cité par

[Arn] V.I. Arnold: The cohomology ring of the colored braid group. Mat. Sametki 5 (1969) 227-231; Math. Notes 5 (1969) 138-140. | MR | Zbl

[Arv1] W. Arvola: The fundamental group of the complement of an arrangement of complex hyperplanes (preprint). | MR | Zbl

[Arv2] W. Arvola: Complexified real arrangements of hyperplanes (preprint). | MR | Zbl

[Bj-Zi] A. Björner and G. Ziegler: Combinatorial stratification of complex arrangements. J. Amer. Math. Soc., 1992. | MR | Zbl

[Br] E. Brieskorn: Sur les groups de tresses, in " Séminaire Bourbaki 1971/72", Lecture Notes in Math. 317. Springer-Verlag: Berlin, Heidelberg, New York (1973) 21-44. | Numdam | MR | Zbl

[Ca] P. Cartier: Les arrangements d'hyperplans: un chapitre de géometrie combinatoire, in "Séminaire Bourbaki 1980/81," Lecture Notes in Math. 901. Springer-Verlag, Berlin, Heidelberg, New York (1981) 1-22. | Numdam | MR | Zbl

[Co] H.S.M. Coxeter: Discrete groups generated by reflections. Annals of Math. 35 (1934) 588-621. | JFM | MR | Zbl

[De] P. Deligne: Les immeubles des groups de tresses génèralisés. Invent. Math. 17 (1972) 273-302. | MR | Zbl

[De-Mo] P. Deligne and G.D. Mostow: Monodromy of hypergeometric functions and non-lattice integral monodromy. Publ. Math. IHES 63 (1986) 5-89. | Numdam | MR | Zbl

[Fa] M. Falk: On the algebra associated with a geometric lattice. Advances in Mathematics, vol. 80(2) ((1990) 152-163. | MR | Zbl

[Ge] I.M. Gelfand: General theory of hypergeometric functions. Soviet Math. Doklady 33 (1986) 573-577. | MR | Zbl

[Go-Mac] M. Goresky and R. Macpherson: Stratified Morse Theory, Ergebnisse der Mathematik und ihre Grenzgebiete, 3 Folge, Band 14. Springer-Verlag, Berlin (1988). | MR | Zbl

[Hi] F. Hirzzebriech: Arrangements of lines and algebraic surfaces, in "Arithmetic and Geometry", vol. II. Progress in Math. 36. Birkhauser, Boston (1983) 113-140. | MR | Zbl

[Ji-Ya] T. Jiang and S.S.-T. Yau: Topological and differentiable structures of the complement of an arrangement of hyperplanes (preprint). | MR | Zbl

[Ma] J. Mather: Notes on topological stability. Harvard University, July 1970.

[Mo] B. Moishezon: Simply connected algebraic surfaces of general type. Invent. Math. 89 (1987) 601-643. | MR | Zbl

[Or1] P. Orlik: Introduction to Arrangements, C.B.M.S. Regional Conference Series in Mathematics, No. 72, A.M.S. | Zbl

[Or2] P. Orlik: Complements of subspace arrangements (preprint). | MR | Zbl

[Or-So1] P. Orlik and L. Solomon: Combinations and topology of complements of hyperplanes. Invent. Math. 56 (1980) 167-189. | EuDML | MR | Zbl

[Or-So2] P. Orlik and L. Solomon: Unitary reflection groups and cohomology. Invent. Math. 59 (1980) 77-94. | EuDML | MR | Zbl

[Or-So3] P. Orlik and L. Solomon: Discriminants in the invariant theory of reflection groups. Bagoya Math. J.. 109 (1988) 23-45. | MR | Zbl

[Ra1] R. Randall: The fundamental group of the complement of a union of complex hyperplanes. Invent. Math. 80 (1985) 467-468. A correction of this paper by the same author is in Invent. Math. 80 (1985) 467-468. | EuDML | MR | Zbl

[Ra2] R. Randall: Lattice-isotopic arrangements are topologically isomorphic. | Zbl

[Sa1] M. Salvetti: Topology of the complement of real hyperplanes in CN. Invent. Math. 88 (1987) 603-618. | EuDML | MR | Zbl

[Sa2] M. Salvetti: Arrangements of lines and monodromy of plane curves. Compositio Math. 68 (1988) 103-122. | EuDML | Numdam | MR | Zbl

[Sa3] M. Salvetti: On the homotopy theory of complexes associated to metrical-hemisphere complexes. Discrete Mathematics 113 (1993) 155-177. | MR | Zbl

[Sh-To] G.C. Shepherd and J.A. Todd: Finite unitary reflection groups. Canad. J. Math. 6 (1954) 274-304. | MR | Zbl

[Te] B. Teissier: Cycles évanescents, sections planes et conditions de Whitney. Asterisque (Société Mathématique de France) No. 7-8, 1973. | Numdam | MR | Zbl