Generalized local and global Sebastiani-Thom type theorems

András Némethi

Compositio Mathematica (1991)

  • Volume: 80, Issue: 1, page 1-14
  • ISSN: 0010-437X

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Némethi, András. "Generalized local and global Sebastiani-Thom type theorems." Compositio Mathematica 80.1 (1991): 1-14. <http://eudml.org/doc/90113>.

@article{Némethi1991,
author = {Némethi, András},
journal = {Compositio Mathematica},
keywords = {Milnor fibering; Milnor number; homotopy type; zeta function},
language = {eng},
number = {1},
pages = {1-14},
publisher = {Kluwer Academic Publishers},
title = {Generalized local and global Sebastiani-Thom type theorems},
url = {http://eudml.org/doc/90113},
volume = {80},
year = {1991},
}

TY - JOUR
AU - Némethi, András
TI - Generalized local and global Sebastiani-Thom type theorems
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 80
IS - 1
SP - 1
EP - 14
LA - eng
KW - Milnor fibering; Milnor number; homotopy type; zeta function
UR - http://eudml.org/doc/90113
ER -

References

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  1. 1 Demazure, M.: Classification des germs à points critiques isolés et à nombres de modules 0 ou 1 (d'après V. I. Arnold), Séminaire Bourbaki, 26-e année, 1973/74, 443, Février 1974. Zbl0359.57012
  2. 2 Eisenbud, D. and Neumann, W.: Three-dimensional link theory and invariants of plane curve singularities, Annals of Math. Studies, Princeton Univ. Press., 110 (1985). Zbl0628.57002MR817982
  3. 3 Gabrielov, A.M.: Intersection matrices for certain singularities, Funktional'nyi Analiz i ego Prilozheniya, 1973, 7:3, 18-32; FAA (Eng. Tranl. of FAP) 7, 182-193. Zbl0288.32011MR324066
  4. 4 Massey, D.B.: The Lê Varieties, II: submitted. Zbl0727.32015
  5. 5 Milnor, J.: Singular points of complex hypersurfaces, Annals of Math. Studies, Princeton Univ. Press, 61 (1968). Zbl0184.48405MR239612
  6. 6 Neumann, W.D., Rudolf, L.: Unfoldings in knot theory. Math. Ann.278, 409-439 (1987) and Corrigendum, ibid.282, 349-351 (1988). Zbl0675.57011MR909235
  7. 7 Neumann, W.D.: Complex algebraic plane curves via their links at infinity. Invent. Math.98, 445-489 (1989). Zbl0734.57011MR1022302
  8. 8 Némethi, A.: The Milnor fiber and the zeta function of the singularities of type f = P(h, g); to appear in Compositio Math. Zbl0724.32020MR1112280
  9. 9 Némethi, A.: Global Sebastiani-Thom theorem for polynomial maps; to appear in J. Math. Soc. Japan. Zbl0739.32034MR1096431
  10. 10 Némethi, A., Zaharia, A.: The topology of some affine hypersurfaces (preprint, INCREST, 65/1986). 
  11. 11 Oka, M.: On the homotopy types of hypersurfaces defined by weighted homogeneous polynomials, Topology, 12, 19-32 (1973). Zbl0263.32005MR309950
  12. 12 Sakamoto, K.: Milnor fiberings and their characteristic maps, Proc. Intern. Conf. on manifolds and Related Topics in Topology, Tokyo (1973). Zbl0321.32010MR372244
  13. 13 Sakamoto, K.: The Seifert matrices of Milnor fiberings defined by holomorphic functions, J. Math. Soc. Japan, 26, 714-721 (1974). Zbl0286.32010MR362329
  14. 14 Sebastiani, M., Thom, R.: Un résultat sur la monodromie, Invent. Math.1971, 13: 1-2, 90-96. Zbl0233.32025MR293122

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