Monodromy of functions defined on isolated singularities of complete intersections

Alexandru Dimca

Compositio Mathematica (1985)

  • Volume: 54, Issue: 1, page 105-119
  • ISSN: 0010-437X

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Dimca, Alexandru. "Monodromy of functions defined on isolated singularities of complete intersections." Compositio Mathematica 54.1 (1985): 105-119. <http://eudml.org/doc/89694>.

@article{Dimca1985,
author = {Dimca, Alexandru},
journal = {Compositio Mathematica},
keywords = {analytic function germ; isolated singularities of complete intersections; monodromy group; contact invariant; fundamental group; Milnor fibers; Milnor numbers},
language = {eng},
number = {1},
pages = {105-119},
publisher = {Martinus Nijhoff Publishers},
title = {Monodromy of functions defined on isolated singularities of complete intersections},
url = {http://eudml.org/doc/89694},
volume = {54},
year = {1985},
}

TY - JOUR
AU - Dimca, Alexandru
TI - Monodromy of functions defined on isolated singularities of complete intersections
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 54
IS - 1
SP - 105
EP - 119
LA - eng
KW - analytic function germ; isolated singularities of complete intersections; monodromy group; contact invariant; fundamental group; Milnor fibers; Milnor numbers
UR - http://eudml.org/doc/89694
ER -

References

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  1. [1] A. Dimca: Function germs defined on isolated hypersurface singularities, Comp. Math.53 (1984) 245-258. Zbl0548.32005MR766299
  2. [2] C.G. Gibson et al.: Topological stability of smooth mappings, Lecture Notes in Maths. 552, Springer Verlag, Berlin, (1976). Zbl0377.58006MR436203
  3. [3] G.-M. Greuel; Lê Dũng Tráng: Spitzen, Doppelpunkte und vertikale Tangenten in der Diskriminante verseller Deformationen von vollständigen Durchschnitten, Math. Ann.222 (1976) 71-88. Zbl0318.32015MR441961
  4. [4] C.M. Gusein Zade: Monodromy groups of isolated hypersurface singularities, Uspekhi Mat. Nauk, 32 (2) (1977) 23-65 (Russian). Zbl0363.32010MR476738
  5. [5] H. Hamm: Lokal topologische Eigenschaften complexer Räume, Math. Ann.191 (1971) 235-252. Zbl0214.22801MR286143
  6. [6] H. Hammand Lê Dũng Tráng: Un théorème de Zariski du type de Lefschetz, Ann. Sci. Ec. Norm. Sup.6 (1973) 317-366. Zbl0276.14003MR401755
  7. [7] I.N. Iomdine: Computation of the relative monodromy of a complex hypersurface, Funct. Analiz. i priloz.9 (1) (1975) 67-68 (Russian). Zbl0322.14004
  8. [8] K. Lamotke: Die Homologie isolierter Singularitäten, Math. Z.143 (1975) 27-44. Zbl0302.32013MR390278
  9. [9] K. Lamotke: The topology of complex projective varieties after S. LEFSCHETZ, Topology20 (1981) 15-51. Zbl0445.14010MR592569
  10. [10] Le Dũng Trãng: Calculation of Milnor number of an isolated singularity of complete intersection, Funct. Analiz. i priloz.8 (1974) 45-49 (Russian). Zbl0351.32007MR350064
  11. [11] J. Milnor: Singular points of complex hypersurfaces, Ann. of Math. Stud.61 (1968). Zbl0184.48405MR239612
  12. [12] D. Siersma: Classification and deformation of singularities. Thesis. Univ. of Amsterdam (1974). Zbl0283.57012MR350775

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