@article{CM_1991__79_1_63_0,
author = {N\'emethi, Andr\'as},
title = {The {Milnor} fiber and the zeta function of the singularities of type $f = P(h,g)$},
journal = {Compositio Mathematica},
pages = {63--97},
year = {1991},
publisher = {Kluwer Academic Publishers},
volume = {79},
number = {1},
mrnumber = {1112280},
zbl = {0724.32020},
language = {en},
url = {https://www.numdam.org/item/CM_1991__79_1_63_0/}
}
TY - JOUR AU - Némethi, András TI - The Milnor fiber and the zeta function of the singularities of type $f = P(h,g)$ JO - Compositio Mathematica PY - 1991 SP - 63 EP - 97 VL - 79 IS - 1 PB - Kluwer Academic Publishers UR - https://www.numdam.org/item/CM_1991__79_1_63_0/ LA - en ID - CM_1991__79_1_63_0 ER -
Némethi, András. The Milnor fiber and the zeta function of the singularities of type $f = P(h,g)$. Compositio Mathematica, Tome 79 (1991) no. 1, pp. 63-97. https://www.numdam.org/item/CM_1991__79_1_63_0/
[1] , Le groupe de monodromie du deploiement des singularités isolées de courbes planes I, Math. Ann.(1975) 213, 1-32. | Zbl | MR
[2] , La fonction zeta d'une monodromie. Commentarii Mathematici Helvetici (1975) 50, 233-248. | Zbl | MR
[3] , and , Singularities of differentiable maps, Vols I and II, Birkhäuser, 1988. | Zbl
[4] , Éléments de mathematiques, Livre II, Algèbre, Chap. 8. | Zbl
[5] and , Critical points of functions on analytic varieties, Topology Vol. 27 No. 1, 57-90 (1988). | Zbl | MR
[6] , Le formalisme des cycles évanescents, SGA VII2, Exp. XIII, Lecture Notes in Math. 340, 82-115 (1973). | Zbl
[7] , Function gems defined on isolated hypersurface singularities, Compositio Math. 53 (1984), 245-258. | Zbl | MR | Numdam
[8] and , Quasifaserungen und unendliche symmetrische producte, Ann. Math. 67 (1958). | Zbl | MR
[9] and , Three-dimensional link theory and invariants of plane curve singularities. Ann. of Math. Studies, Princeton Univ. Press, 110 (1985). | Zbl | MR
[10] , Free differential calculus II, Math. Ann. 59(2), March (1954). | Zbl | MR
[11] , Intersection matrices for certain singularities of functions of two variables, Funk. Anal. Pril. 8(1) (1974) 11-15. | Zbl | MR
[12] , Dynkin diagrams of singularities of functions of two variables. Funk. Anal. Pril. 8(4) (1974) 23-30. | Zbl | MR
[13] , Local topological properties of complex algebraic sets, Sibirsk. Mat. Z. 15(4) (1974), 784-805. | Zbl | MR
[14] , Complex surfaces with a one dimensional set of singularities, Sibirsk. Mat. Z, 15(5) (1974), 1061-1082. | Zbl | MR
[15] and , On the connectivity of the Milnor fibre of a holomorphic function at a critical point, Proc. 1973 Tokyo Manifold Confer., 131-136. | Zbl | MR
[16] , Calcul du nombre de cycles évanouissants d'une hypersurface complexe, Ann. Inst. Fourier (Grenoble) 23 (1973) 261-270. | Zbl | MR | Numdam
[17] , Le monodromie n'a pas de points fixes, J. Fac. Sci. Univ. Tokyo Sec. IA. Math, 22 (1975), 409-427. | Zbl | MR
[18] , Ensembles analytiques complexes avec lieu singulier de dimension un (d'apres I.N. Iomdin). Séminaire sur les singularités, Publ. Math. Univ. Paris VII, p. 87-95 (1980).
[19] and , The local π1 of the complement of a hypersurface with normal crossings in codimension 1 is abelian. Arkiv for Mathematik 22(1) (1984) 1-24. | Zbl
[20] , Isolated singular points on complete intersections, London Math. Soc. Lect. Note Series 77, Cambridge University Press, 1984. | Zbl | MR
[21] , Singular points of complex hypersurfaces, Annals of Math. Studies of Math. Studies, 61, Princeton Univ. Press, 1968. | Zbl | MR
[22] and , Isolated singularities defined by weighted homogeneous polynomials, Topology, Vol. 9. pp. 385-393. | Zbl | MR
[23] , Hypersurface singularities and resolutions of Jacobi modules. Thesis Rijksuniversiteit Utrecht, 1985. | Zbl
[24] , Finite determinacy of functions with non-isolated singularities, Proc. London Math. Soc. (3), 57 (1988), 357-382. | Zbl | MR
[25] , Milnor fiberings and their characteristic maps, Proc. Intern. Conf. on Manifolds and Related Topics in Topology, Tokyo, 1973, 145-150. | Zbl | MR
[26] : Topological series of isolated plane curve singularities, Preprint Rijksuniversiteit Utrecht, 1988. | MR
[27] , Local fields, Graduate texts in math. 67 (1979). | Zbl | MR
[28] , Classification and deformation of singularities, Acad. Service, Vinkeveen, 1974. | Zbl | MR
[29] , Isolated line singularities, Proc. of Symp. in Pure Math., Vol. 40 (1983), Part 2, 485-496. | Zbl | MR
[30] , Hypersurface with singular locus a plane curve and transversal type A 1. Preprint 406, Rijksuniversiteit Utrecht (1986). | MR
[31] , Singularities with critical locus a 1-dimensional complete intersection and transversal type A1, Topology and its applications 27 (1987), 51-73. | Zbl | MR
[32] , Quasihomogeneous singularities with transversal type A1, Preprint 452, Rijksunversiteit Utrecht (1987). | MR
[33] , The monodromy of a series of hypersurface singularities, Preprint University Utrecht (1988). | MR
[34] , Algebraic Topology, McGraw-Hill, New York, 1966. | Zbl | MR
[35] , Group theory I, Grundlehren der mathematischen Wissenschaften 247. | Zbl
[36] , Cycles evanescents, sections planes et conditions de Whitney, Astérisque 7 et8, 1973, 285-362. | Zbl | MR | Numdam
[37] , Non-isolated hypersurface singularities, Thesis, Nijmegen, 1988.
[38] , Zeta function of monodromy and Newton's diagram. Invent. Math.(1976), 37, 253-262. | Zbl | MR
[39] , Sur une classe de singularités non-isolées. To appear in Rev. Roum. Math. Pure Appl. | Zbl | MR
[40] , On the problem of existence of algebraic functions of two variables possessing a given branch curve. Amer. J. Math. 51 (1929). | MR | JFM
[41] , Singularity theory and an introduction to catastrophe theory, Universitext, Springer Verlag (1976). | Zbl | MR






