Function germs defined on isolated hypersurface singularities

Alexandru Dimca

Compositio Mathematica (1984)

  • Volume: 53, Issue: 2, page 245-258
  • ISSN: 0010-437X

How to cite

top

Dimca, Alexandru. "Function germs defined on isolated hypersurface singularities." Compositio Mathematica 53.2 (1984): 245-258. <http://eudml.org/doc/89686>.

@article{Dimca1984,
author = {Dimca, Alexandru},
journal = {Compositio Mathematica},
keywords = {isolated hypersurface singularity; contact equivalence relations; simple germs},
language = {eng},
number = {2},
pages = {245-258},
publisher = {Martinus Nijhoff Publishers},
title = {Function germs defined on isolated hypersurface singularities},
url = {http://eudml.org/doc/89686},
volume = {53},
year = {1984},
}

TY - JOUR
AU - Dimca, Alexandru
TI - Function germs defined on isolated hypersurface singularities
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 53
IS - 2
SP - 245
EP - 258
LA - eng
KW - isolated hypersurface singularity; contact equivalence relations; simple germs
UR - http://eudml.org/doc/89686
ER -

References

top
  1. [1] V.I. Arnold: Local normal forms of functions. Invent. Math.35 (1976), 87-109. Zbl0336.57022MR467795
  2. [2] V.I. Arnold: Critical points of functions on manifolds with boundary, simple Lie groups Bk, Ck, F4 and evolute singularities. Uspekhi Mat. Nauk33 (1978), 5, 91-105 (Russian). MR511883
  3. [3] A. Dimca and C.G. Gibson: Contact unimodular germs from the plane to the plane, Quart. J. Math., Oxford, (2), 34 (1983) 281-295. Zbl0537.58007MR711521
  4. [4] C.G. Gibson: Singular points of smooth mappings. Research Notes in Math. 25, Pitman (1979). Zbl0426.58001MR533668
  5. [5] V.V. Goriunov: The geometry of bifurcation diagrams of simple projections on the line. Functional Anal. Appl.15 (1981) 2, 1-8 (Russian). Zbl0507.58010MR617465
  6. [6] G.-M. Greuel: Der Gauss-Manin Zusammenhang isolierter Singularitätent ein vollständigen Durchschnitten. Math. Ann.214 (1975) 235-266. Zbl0285.14002MR396554
  7. [7] H. Hamm: Lokale topologische Eigenschaften Komplexer Räume. Math. Ann.191 (1971) 235-252. Zbl0214.22801MR286143
  8. [8] Lê Dung Trang, Toplogie des singularités des hypersurfaces complexes. Singularités à Cargése, Astérisque 7 et 8 (1973) 171-182. Zbl0331.32009MR361147
  9. [9] J. Martinet: Singularités des fonctions et applications différentiable. Monografias de Matématica da P.U.C. (1977). Zbl0389.58005MR464292
  10. [10] J.N. Mather: Classification of stable germs by R-algebras. Publ. Math. I.H.E.S. 37 (1969) 223-248. Zbl0202.55102MR275460
  11. [11] H. Matsumura: Commutative Algebra. W.A. Benjamin Inc., New York (1970). Zbl0211.06501MR266911
  12. [12] G. Scheja und H. Wiebe: Über Derivationen in isolierten Singularitäten auf vollständigen Durchschnitten. Math. Ann.225 (1977) 161-171. Zbl0338.32005MR508048
  13. [13] D. Siersma: Classification and deformation of singularities. Thesis, Amsterdam University (1974). Zbl0283.57012MR350775
  14. [14] C.T.C. Wall: Classification of unimodal isolated singularities of complete intersections. Arcata Summer School on Singularities 1981. Proc. Symp. in Pure Math. 40, Part II, Amer. Math. Soc. 1983, 625-640. Zbl0519.58013MR713286

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.