On hypersurface singularities which are stems

Ruud Pellikaan

Compositio Mathematica (1989)

  • Volume: 71, Issue: 2, page 229-240
  • ISSN: 0010-437X

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Pellikaan, Ruud. "On hypersurface singularities which are stems." Compositio Mathematica 71.2 (1989): 229-240. <http://eudml.org/doc/89973>.

@article{Pellikaan1989,
author = {Pellikaan, Ruud},
journal = {Compositio Mathematica},
keywords = {transversal singularities; germ of analytic function; singular locus; stem},
language = {eng},
number = {2},
pages = {229-240},
publisher = {Kluwer Academic Publishers},
title = {On hypersurface singularities which are stems},
url = {http://eudml.org/doc/89973},
volume = {71},
year = {1989},
}

TY - JOUR
AU - Pellikaan, Ruud
TI - On hypersurface singularities which are stems
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 71
IS - 2
SP - 229
EP - 240
LA - eng
KW - transversal singularities; germ of analytic function; singular locus; stem
UR - http://eudml.org/doc/89973
ER -

References

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  4. 4 H.A. Hamm and Lê D.T.: Un thérorème de Zariski du type de Lefschetz, Ann. Scient. Éc. Norm. Sup.6 (1973) 317-366. Zbl0276.14003MR401755
  5. 5 H. Hironaka: On the equivalence of singularities I, in Arithmetical Algebraic Geometry. Proceedings, Harper and Row, New York, (1965). Zbl0147.20502MR201433
  6. 6 H. Hironaka: Formal line bundles along exeptional loci, in Algebraic Geometry, Bombay Colloquium1968, Oxford Un. Press (1969) pp. 201-218. Zbl0205.24802MR262249
  7. 7 S. Izumiya and S. Matsuoka: Notes on smooth function germs on varieties, Proc. Am. Math. Soc.97 (1986) 146-150. Zbl0594.58013MR831404
  8. 8 J. Mather: Stability of C ∞-mappings III. Finitely determined map germs, Inst. Hautes Études Sci. Publ. Math.35 (1969) 127-156. Zbl0159.25001
  9. 9 H. Matsumura: Commutative algebra, Math. Lecture Note Ser.56, Benjamin, New York (1970). Zbl0211.06501MR266911
  10. 10 D. Mond: On the classification of germs of maps from R2 to R3, Proc. London Math. Soc.50 (1985) 333-369. Zbl0557.58006MR772717
  11. 11 D. Mond: Some remarks on the geometry and classification of germs of maps from surfaces to 3-space, Topology26 (1987) 361-383. Zbl0654.32008MR899055
  12. 12 R. Pellikaan: Hypersurface singularities and resolutions of Jacobi modules, thesis, Rijksuniversiteit Utrecht (1985). Zbl0589.32017
  13. 13 R. Pellikaan: Series of isolated singularities, Proceedings, Singularities at Iowa 1986, Am. Math. Soc. Contempory Math. Ser., to appear. Zbl0675.32009MR1000606
  14. 14 R. Pellikaan: Finite determinacy of functions with non-isolated singularities, Proc. London Math. Soc.57 (1988) 357-382. Zbl0621.32019MR950595
  15. 15 D. Siersma: Isolated line singularities, in Proc. Symp. Pure Math.40, Singularities at Arcata (1981), ed, P. Orlik, part 2, pp. 485-496. Zbl0514.32007MR713274
  16. 16 D. van Straten: Weakly normal surface singularities and their improvements, thesis Rijksuniversiteit Leiden (1987). 
  17. 17 J.C. Tougeron: Idéaux de fonctions différentiables I, Ann. Inst. Fourier18 (1968) 177-240. Zbl0188.45102MR240826
  18. 18 J.C. Tougeron: Idéaux de fonctions différentiables, Ergeb. Math. Grenzgebiete71Springer, Berlin etc. (1972). Zbl0251.58001MR440598
  19. 19 J. Wavrik: A theorem on solutions of analytic equations with applications to deformations of complex structures, Math. Ann.216 (1975) 127-142. Zbl0303.32018MR387649
  20. 20 H. Whitney: Local properties of analytic varieties. Differential and Combinatorial Topology, Princeton (1965) pp. 205-244. Zbl0129.39402MR188486

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