Analytic curves in power series rings

Herwig Hauser; Gerd Müller

Compositio Mathematica (1990)

  • Volume: 76, Issue: 1-2, page 197-201
  • ISSN: 0010-437X

How to cite


Hauser, Herwig, and Müller, Gerd. "Analytic curves in power series rings." Compositio Mathematica 76.1-2 (1990): 197-201. <>.

author = {Hauser, Herwig, Müller, Gerd},
journal = {Compositio Mathematica},
keywords = {orbits; analytic germs of singularities; group actions; convergent power series; contact group},
language = {eng},
number = {1-2},
pages = {197-201},
publisher = {Kluwer Academic Publishers},
title = {Analytic curves in power series rings},
url = {},
volume = {76},
year = {1990},

AU - Hauser, Herwig
AU - Müller, Gerd
TI - Analytic curves in power series rings
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 76
IS - 1-2
SP - 197
EP - 201
LA - eng
KW - orbits; analytic germs of singularities; group actions; convergent power series; contact group
UR -
ER -


  1. [E] Ephraim, R.: Isosingular loci and the cartesian product structure of complex analytic singularities. Trans. Am. Math. Soc.241 (1978) 357-371. Zbl0395.32006MR492307
  2. [F] Fischer, G.: Complex analytic geometry. Springer Lect. Notes538, 1976. Zbl0343.32002MR430286
  3. [F-G] Fischer, W., Grauert, H.: Lokal-triviale Familien kompakter komplexer Mannigfaltigkeiten. Nachr. Akad. Wiss. Göttingen, Math. Phys. Kl.II6 (1965) 89-94. Zbl0135.12601MR184258
  4. [F-K] Flenner, H., Kosarew, S.: On locally trivial deformations. Publ. Res. Inst. Math. Sci.23 (1987) 627-665. Zbl0636.32010MR918518
  5. [G-K] Greuel, G.-M., Karras, U.: Families of varieties with prescribed singularities. Compos. Math.69 (1989). Zbl0684.32015MR986814
  6. [H-M] Hauser, H., Müller, G.: The trivial locus of an analytic map germ. To appear. Zbl0678.32013
  7. [M] Müller, G.: Deformations of reductive group actions. Math. Proc. Camb. Philos. Soc.106 (1989) 77-88. Zbl0683.32021MR994081
  8. [P-P] Pfister, G., Popescu, D.: Die strenge Approximationseigenschaft lokaler Ringe. Invent. Math.30 (1975) 145-174. Zbl0293.13011MR379490
  9. [Sch] Schuster, H.W.: Zur Theorie der Deformationen kompakter komplexer Räume. Invent. Math.9 (1970) 284-294. Zbl0192.44201MR268921
  10. [T] Teissier, B.: The hunting of invariants in the geometry of discriminants. In: Real and complex singularities, Oslo1976, 565-677. Holm, P., (ed.) Sijthoff & Noordhoff1977. Zbl0388.32010MR568901
  11. [W] Wavrik, J.J.: A theorem on solutions of analytic equations with applications to deformations of complex structures. Math. Ann.216 (1975) 127-142. Zbl0303.32018MR387649

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