Homogeneous polynomials with isomorphic Milnor algebras

Imran Ahmed

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 1, page 125-131
  • ISSN: 0011-4642

Abstract

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We recall first Mather's Lemma providing effective necessary and sufficient conditions for a connected submanifold to be contained in an orbit. We show that two homogeneous polynomials having isomorphic Milnor algebras are right-equivalent.

How to cite

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Ahmed, Imran. "Homogeneous polynomials with isomorphic Milnor algebras." Czechoslovak Mathematical Journal 60.1 (2010): 125-131. <http://eudml.org/doc/37995>.

@article{Ahmed2010,
abstract = {We recall first Mather's Lemma providing effective necessary and sufficient conditions for a connected submanifold to be contained in an orbit. We show that two homogeneous polynomials having isomorphic Milnor algebras are right-equivalent.},
author = {Ahmed, Imran},
journal = {Czechoslovak Mathematical Journal},
keywords = {Milnor algebra; right-equivalence; homogeneous polynomial; Milnor algebra; right-equivalence; homogeneous polynomial},
language = {eng},
number = {1},
pages = {125-131},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Homogeneous polynomials with isomorphic Milnor algebras},
url = {http://eudml.org/doc/37995},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Ahmed, Imran
TI - Homogeneous polynomials with isomorphic Milnor algebras
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 1
SP - 125
EP - 131
AB - We recall first Mather's Lemma providing effective necessary and sufficient conditions for a connected submanifold to be contained in an orbit. We show that two homogeneous polynomials having isomorphic Milnor algebras are right-equivalent.
LA - eng
KW - Milnor algebra; right-equivalence; homogeneous polynomial; Milnor algebra; right-equivalence; homogeneous polynomial
UR - http://eudml.org/doc/37995
ER -

References

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  1. Dimca, A., Topics on Real and Complex Singularities, Fried. Vieweg &amp; Sohn Braunschweig/Wiesbaden (1987). (1987) Zbl0628.14001MR1013785
  2. Gibson, C. G., Wirthmüller, K., Plessis, A. A. Du, Looijenga, E. J. N., Topological Stability of Smooth Mappings. Lect. Notes Math. Vol. 552, Springer Berlin (1976). (1976) MR0436203
  3. Mather, J. N., 10.1007/BF02684889, Publ. Math., Inst. Hautes Étud. Sci. 37 (1969), 223-248. (1969) Zbl0202.55102MR0275460DOI10.1007/BF02684889
  4. Mather, J. N., Yau, S. S. T., 10.1007/BF01399504, Invent. Math. 69 (1982), 243-251. (1982) Zbl0499.32008MR0674404DOI10.1007/BF01399504

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