On the fundamental group of the complement of certain plane curves

Mutsuo OKA

doi:10.2969/jmsj/03040579

Mutsuo OKA

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JOURNAL FREE ACCESS

1978 Volume 30 Issue 4 Pages 579-597

DOI https://doi.org/10.2969/jmsj/03040579

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Published: 1978 Received: March 02, 1976 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) S. S Abhyankar, Tame coverings and fundamental groups of algebraic varieties, Amer. J. Math., I, 81 (1959), II, 82 (1960).
2) E. R. Van Kampen, On the fundamental group of an algebraic curve, Amer. J. Math., 55 (1933).
3) W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory, Interscience,1966.
4) M. Oka, On the monodromy of a curve with ordinary double points, Inventiones Math., 27 (1974).
5) M. Oka, On the fundamental group of a reducible curve in P², J. London Math. Soc. (2), 12 (1976), 239-252.
6) M. Oka, Some plane curves whose complements have non-abelian fundamental groups, Math. Ann., 218 (1975), 55-65.
7) R. Thom, L'Équivalence d'une fonction différentiable et d'un polynome, Topology, 3, 1965.
8) O. Zariski, On the problem of existence of algebraic functions of two variables possessing a given branch curve, Amer. J. Math., 51 (1929).
9) O. Zariski, Algebraic surfaces, 2nd Edition, Springer, (1971).

Right : [1] S. S Abhyankar, Tame coverings and fundamental groups of algebraic varieties, Amer. J. Math., I, 81 (1959), II, 82 (1960).
[2] E. R. Van Kampen, On the fundamental group of an algebraic curve, Amer. J. Math., 55 (1933).
[3] W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory, Interscience, 1966.
[4] M. Oka, On the monodromy of a curve with ordinary double points, Inventiones Math., 27 (1974).
[5] M. Oka, On the fundamental group of a reducible curve in P², J. London Math. Soc. (2), 12 (1976), 239-252.
[6] M. Oka, Some plane curves whose complements have non-abelian fundamental groups, Math. Ann., 218 (1975), 55-65.
[7] R. Thom, L'Équivalence d'une fonction différentiable et d'un polynome, Topology, 3, 1965.
[8] O. Zariski, On the problem of existence of algebraic functions of two variables possessing a given branch curve, Amer. J. Math., 51 (1929).
[9] O. Zariski, Algebraic surfaces, 2nd Edition, Springer, (1971).

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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