Global Sebastiani-Thom theorem for polynomial maps

András NÉMETHI

doi:10.2969/jmsj/04320213

András NÉMETHI

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ジャーナルフリー

1991 年 43 巻 2 号 p. 213-218

DOI https://doi.org/10.2969/jmsj/04320213

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Published: 1991 Received: 1989/09/25 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : Br1) S. A. Broughton, On the topology of Polynomial Hypersurfaces, Proceedings of Symposia in Pure Mathematics, Arcata Singularities Conference, Am. Math. Soc., 40(1983). 167-178.
Br2) S. A. Broughton, Milnor numbers and the topology of polynomial hypersurfaces, Invent. Math., 92 (1988), 217-241.
H-L) H. V. Hà and D. T. Lê, Sur la topologie des polynômes complexes, Acta. Math. Vietnamica, 9 (1984), 21-32.
H) M. W. Hirsch, Differential Topology, Graduate texts in mathematics, 33, 1976.
Ko) A. G. Kouchnirenko, Polyedres de Newton et nombres de Milnor, Invent. Math., 32 (1976), 1-31.
Mil) J. Milnor, Topology from the differentiable viewpoint, University Press of Virginia, 1965.
Mi2) J. Milnor, Construction of universal boundles II, Ann, of Math., 63 (1965), 430-436.
Ne) A. Némethi, Théorie de Lefschetz pour les variétiés algebriques affines, C. R. Acad. Sci. Paris, 303, Serie I, no. 12, 1986.
O1) M. Oka, On the homotopy types of hypersurfaces defined by weighted homogeneous polynomials, Topology, 12 (1973), 19-32.
O2) M. Oka, On the bifurcation of the multiplicity and topology of the Newton boundary, J. Math. Soc. Japan, 31, No. 3, (1979).
O3) M. Oka, On the topology of Newton boundary II, J. Math. Soc. Japan, 32 (1980), 65-92.
O4) M. Oka, On the topology of the New boundary III, J. Math. Soc. Japan, 34 (1982), 541-549.
Sa1) K. Sakamoto, The Seifert matrices of Milnor fiberings defined by holomorphic functions, J. Math. Soc. Japan, 26 (1974), 714-721.
Sa2) K. Sakamoto, Milnor fiberings and their characteristic Maps, Proc. Intern. Conf. on Manifolds and Related Topics in Topology, Tokyo, 1973.
Se-T) M. Sebastiani and R. Thom, Un résultat sur la monodromie, Invent. Math., 13 (1971).
Ve) J. L. Verdier, Stratificatiorns de Whitney et Theoreme de Bertini-Sard, Invent. Math., 36 (1976), 295-312.

Right : [Br1] S. A. Broughton, On the topology of Polynomial Hypersurfaces, Proceedings of Symposia in Pure Mathematics, Arcata Singularities Conference, Am. Math. Soc., 40 (1983). 167-178.
[Br2] S. A. Broughton, Milnor numbers and the topology of polynomial hypersurfaces, Invent. Math., 92 (1988), 217-241.
[H-L] H. V. Hà and D. T. Lê, Sur la topologie des polynômes complexes, Acta. Math. Vietnamica, 9 (1984), 21-32.
[H] M. W. Hirsch, Differential Topology, Graduate texts in mathematics, 33, 1976.
[Ko] A. G. Kouchnirenko, Polyèdres de Newton et nombres de Milnor, Invent. Math., 32 (1976), 1-31.
[Mi1] J. Milnor, Topology from the differentiable viewpoint, University Press of Virginia, 1965.
[Mi2] J. Milnor, Construction of universal boundles II, Ann, of Math., 63 (1965), 430-436.
[Ne] A. Némethi, Théorie de Lefschetz pour les variétiés algebriques affines, C. R. Acad. Sci. Paris, 303, Serie I, no. 12, 1986.
[O1] M. Oka, On the homotopy types of hypersurfaces defined by weighted homogeneous polynomials, Topology, 12 (1973), 19-32.
[O2] M. Oka, On the bifurcation of the multiplicity and topology of the Newton boundary, J. Math. Soc. Japan, 31, No. 3, (1979).
[O3] M. Oka, On the topology of Newton boundary II, J. Math. Soc. Japan, 32 (1980), 65-92.
[O4] M. Oka, On the topology of the New boundary III, J. Math. Soc. Japan, 34 (1982), 541-549.
[Sa1] K. Sakamoto, The Seifert matrices of Milnor fiberings defined by holomorphic functions, J. Math. Soc. Japan, 26 (1974), 714-721.
[Sa2] K. Sakamoto, Milnor fiberings and their characteristic Maps, Proc. Intern. Conf. on Manifolds and Related Topics in Topology, Tokyo, 1973.
[Se-T] M. Sebastiani and R. Thom, Un résultat sur la monodromie, Invent. Math., 13 (1971).
[Ve] J. L. Verdier, Stratificatiorns de Whitney et Theoreme de Bertini-Sard, Invent. Math., 36 (1976), 295-312.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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