Classification of 𝒜 -simple germs from k n to k 2

J. H. Rieger; M. A. S. Ruas

Compositio Mathematica (1991)

  • Volume: 79, Issue: 1, page 99-108
  • ISSN: 0010-437X

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Rieger, J. H., and Ruas, M. A. S.. "Classification of $\mathcal {A}$-simple germs from $k^n$ to $k^2$." Compositio Mathematica 79.1 (1991): 99-108. <http://eudml.org/doc/90100>.

@article{Rieger1991,
author = {Rieger, J. H., Ruas, M. A. S.},
journal = {Compositio Mathematica},
keywords = {singularity of a map; contact equivalence; orbit},
language = {eng},
number = {1},
pages = {99-108},
publisher = {Kluwer Academic Publishers},
title = {Classification of $\mathcal \{A\}$-simple germs from $k^n$ to $k^2$},
url = {http://eudml.org/doc/90100},
volume = {79},
year = {1991},
}

TY - JOUR
AU - Rieger, J. H.
AU - Ruas, M. A. S.
TI - Classification of $\mathcal {A}$-simple germs from $k^n$ to $k^2$
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 79
IS - 1
SP - 99
EP - 108
LA - eng
KW - singularity of a map; contact equivalence; orbit
UR - http://eudml.org/doc/90100
ER -

References

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  1. [BG] J.W. Bruce and T.J. Gaffney.Simple singularities of mappings C, 0 → C2, 0. J. London Math. Soc. (2), 26 (1982), 465-474. Zbl0575.58008
  2. [BPW] J W. Bruce, A. A. du Plessis and C.T.C. Wall, Determinacy and Unipotency. Invent Math.88 (1987), 521-554. Zbl0596.58005MR884799
  3. [D] A. Dimca and C.G. Gibson.Contact Germs from the plane to the plane. Proceedings of Symposia in Pure Math. Vol. 40 (1983). Part 1. Zbl0555.58005MR713066
  4. [Da] J. Damon.The Classification of Discrete Algebra Types (Pre-print). 
  5. [G] M. Giusti.Classification des singularités isolées d'intersections complètes simples. C.R. Acad. Sc. Paris, t 284 (1977), 167-170. Zbl0346.32015MR440067
  6. [L] L. Lander.The structure of the Thom-Boardman singularities of Stable Germs with type Σ2, 0. Proc. London Math. Soc. (3) 33 (1976), 113-137. Zbl0326.58011
  7. [M, VI] J.N. Mather.Stability of C∞ mappings VI: the nice dimensions. Proceedings of Liverpool Singularities Symposium I. Ed. C. T. C. Wall—Lecture Notes in Math. 192 (Springer Verlag, 1971), 207-253. Zbl0211.56105
  8. [M, IV] J.N. Mather.Stability of C∞ mappings, IV, Classification of stable germs by R-algebras. Publications Mathématiques 37 (I.H.E.S., Paris, 1970) 223-248. Zbl0202.55102
  9. [Mi] J. Milnor.Singular points of complex hypersurfaces. Annals of Mathematics Studies 61, (Princeton University Press, 1968). Zbl0184.48405MR239612
  10. [dP] A A. du Plessis.On the determinacy of smooth map-germs. Inv. Math.58 (1980), 107-160. Zbl0446.58004MR570877
  11. [PW] A.A. du Plessis and L. Wilson.On right-equivalence. Math. Zeit.190 (1985), 163-205. Zbl0593.58014MR797537
  12. [Rie] J. Rieger.Families of maps from the plane to the plane. J. London Math. Soc. (2) 26 (1987), 351-369. Zbl0639.58007MR906153
  13. [W] C.T.C. Wall.Notes on the classification of singularities. Proc. London Math Soc. (3), 48 (1984), 461-513. Zbl0541.14003MR735225

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