@article{CM_1994__92_2_133_0, author = {Jiang, Tan and Yau, Stephen S.-T.}, title = {Diffeomorphic types of the complements of arrangements of hyperplanes}, journal = {Compositio Mathematica}, pages = {133--155}, publisher = {Kluwer Academic Publishers}, volume = {92}, number = {2}, year = {1994}, mrnumber = {1283226}, zbl = {0828.57018}, language = {en}, url = {http://archive.numdam.org/item/CM_1994__92_2_133_0/} }
TY - JOUR AU - Jiang, Tan AU - Yau, Stephen S.-T. TI - Diffeomorphic types of the complements of arrangements of hyperplanes JO - Compositio Mathematica PY - 1994 SP - 133 EP - 155 VL - 92 IS - 2 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1994__92_2_133_0/ LA - en ID - CM_1994__92_2_133_0 ER -
Jiang, Tan; Yau, Stephen S.-T. Diffeomorphic types of the complements of arrangements of hyperplanes. Compositio Mathematica, Volume 92 (1994) no. 2, pp. 133-155. http://archive.numdam.org/item/CM_1994__92_2_133_0/
[Arn] The cohomology ring of the colored braid group. Mat. Sametki 5 (1969) 227-231; Math. Notes 5 (1969) 138-140. | MR | Zbl
:[Arv1] The fundamental group of the complement of an arrangement of complex hyperplanes (preprint). | MR | Zbl
:[Arv2] Complexified real arrangements of hyperplanes (preprint). | MR | Zbl
:[Bj-Zi] Combinatorial stratification of complex arrangements. J. Amer. Math. Soc., 1992. | MR | Zbl
and :[Br] 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] 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] Discrete groups generated by reflections. Annals of Math. 35 (1934) 588-621. | JFM | MR | Zbl
:[De] Les immeubles des groups de tresses génèralisés. Invent. Math. 17 (1972) 273-302. | MR | Zbl
:[De-Mo] Monodromy of hypergeometric functions and non-lattice integral monodromy. Publ. Math. IHES 63 (1986) 5-89. | Numdam | MR | Zbl
and :[Fa] On the algebra associated with a geometric lattice. Advances in Mathematics, vol. 80(2) ((1990) 152-163. | MR | Zbl
:[Ge] General theory of hypergeometric functions. Soviet Math. Doklady 33 (1986) 573-577. | MR | Zbl
:[Go-Mac] Stratified Morse Theory, Ergebnisse der Mathematik und ihre Grenzgebiete, 3 Folge, Band 14. Springer-Verlag, Berlin (1988). | MR | Zbl
and :[Hi] 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] Topological and differentiable structures of the complement of an arrangement of hyperplanes (preprint). | MR | Zbl
and :[Ma] Notes on topological stability. Harvard University, July 1970.
:[Mo] Simply connected algebraic surfaces of general type. Invent. Math. 89 (1987) 601-643. | MR | Zbl
:[Or1] Introduction to Arrangements, C.B.M.S. Regional Conference Series in Mathematics, No. 72, A.M.S. | Zbl
:[Or2] Complements of subspace arrangements (preprint). | MR | Zbl
:[Or-So1] Combinations and topology of complements of hyperplanes. Invent. Math. 56 (1980) 167-189. | EuDML | MR | Zbl
and :[Or-So2] Unitary reflection groups and cohomology. Invent. Math. 59 (1980) 77-94. | EuDML | MR | Zbl
and :[Or-So3] Discriminants in the invariant theory of reflection groups. Bagoya Math. J.. 109 (1988) 23-45. | MR | Zbl
and :[Ra1] 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] Lattice-isotopic arrangements are topologically isomorphic. | Zbl
:[Sa1] Topology of the complement of real hyperplanes in CN. Invent. Math. 88 (1987) 603-618. | EuDML | MR | Zbl
:[Sa2] Arrangements of lines and monodromy of plane curves. Compositio Math. 68 (1988) 103-122. | EuDML | Numdam | MR | Zbl
:[Sa3] On the homotopy theory of complexes associated to metrical-hemisphere complexes. Discrete Mathematics 113 (1993) 155-177. | MR | Zbl
:[Sh-To] Finite unitary reflection groups. Canad. J. Math. 6 (1954) 274-304. | MR | Zbl
and :[Te] Cycles évanescents, sections planes et conditions de Whitney. Asterisque (Société Mathématique de France) No. 7-8, 1973. | MR | Zbl
: