Homogeneous polynomials with isomorphic Milnor algebras
Czechoslovak Mathematical Journal (2010)
- Volume: 60, Issue: 1, page 125-131
- ISSN: 0011-4642
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topAhmed, 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
top- Dimca, A., Topics on Real and Complex Singularities, Fried. Vieweg & Sohn Braunschweig/Wiesbaden (1987). (1987) Zbl0628.14001MR1013785
- 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
- Mather, J. N., 10.1007/BF02684889, Publ. Math., Inst. Hautes Étud. Sci. 37 (1969), 223-248. (1969) Zbl0202.55102MR0275460DOI10.1007/BF02684889
- 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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