Position of singularities and fundamental group of the complement of a union of lines

Proceedings of the American Mathematical Society

Volumn 124, Issue 11, 1996, Pages 3299-3303

  Fan, Kwai Man ^a  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444457750     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03487-9     Document Type: Article

References (10)

1. E. Artal-Bartolo, Sur le premier nombre de Betti de la fibre de Milnor du cone sur une courne projective plane et son rapport avec la position des points singuliers, University of Wisconsin, Madison (preprint 1990).
2. A. Dimca, Singularities and Topology of Hypersurfaces, Springer-Verlag, New York (1992). MR 94b:32058
3. E. R. van Kampen, On the fundamental group of an algebraic curve, Amer. J. Math. 55 (1933), 255-260.
4. M. Oka, Some plane curves whose complements have non-abelian fundamental groups, Math. Ann. 218-(1975), 55-65. MR 53:419
5. M. Oka and K. Sakamoto, Product theorem of the fundamental group of a reducible curve, J. Math. Soc. Japan 30 (1978), 599-602. MR 81h:14019
6. R. Randell, The fundamental group of the complement of a union of a complex hyper-planes, Invent. Math. 80 (1985), 467-468,
7. Correction: Invent. Math. 80 (1985), 467-468. MR 87e:32010
8. O. Zariski, On the problem of existence of algebraic functions of two variables possessing a given branch curves, Amer. J. Math. 51 (1929), 305-328.
9. O. Zariski, The topological discriminant group of a Riemann surface of genus p, Amer. J. Math. 59 (1937), 335-358.
10. O. Zariski, On the irregularity of cyclic multiple plane, Ann. of Math. 32 (1931), 485-511.