Combinatorics and topology of line arrangements in the complex projective plane
HTML articles powered by AMS MathViewer
- by Enrique Artal-Bartolo PDF
- Proc. Amer. Math. Soc. 121 (1994), 385-390 Request permission
Abstract:
We use some results about Betti numbers of coverings of complements of plane projective curves to discuss the problem of how combinatorics determine the topology of line arrangement, finding a counterexample to a conjecture of Orlik.References
-
E. Artal, Les couples de Zariski, J. Algebraic Geom. (to appear).
- W. Barth, C. Peters, and A. Van de Ven, Compact complex surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 4, Springer-Verlag, Berlin, 1984. MR 749574, DOI 10.1007/978-3-642-96754-2
- Hélène Esnault, Fibre de Milnor d’un cône sur une courbe plane singulière, Invent. Math. 68 (1982), no. 3, 477–496 (French). MR 669426, DOI 10.1007/BF01389413 P. Orlik, Introduction to arrangements, Proc. Sympos. Pure Math., vol. 72, Amer. Math. Soc., Providence, RI, 1989. O. Zariski, On the linear connection index of the algebraic surfaces, Proc. Nat. Acad. Sci. U.S.A. 15 (1929), 494-501.
- Oscar Zariski, On the irregularity of cyclic multiple planes, Ann. of Math. (2) 32 (1931), no. 3, 485–511. MR 1503012, DOI 10.2307/1968247
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 385-390
- MSC: Primary 14F45; Secondary 14F25, 32S35, 52B30
- DOI: https://doi.org/10.1090/S0002-9939-1994-1189536-3
- MathSciNet review: 1189536