| Title:
|
Homogeneous polynomials with isomorphic Milnor algebras (English) |
| Author:
|
Ahmed, Imran |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
125-131 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Milnor algebra |
| Keyword:
|
right-equivalence |
| Keyword:
|
homogeneous polynomial |
| MSC:
|
14E05 |
| MSC:
|
14J17 |
| MSC:
|
14L30 |
| MSC:
|
16W22 |
| MSC:
|
32S30 |
| idZBL:
|
Zbl 1224.14001 |
| idMR:
|
MR2595077 |
| . |
| Date available:
|
2010-07-20T16:20:30Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140556 |
| . |
| Reference:
|
[1] Dimca, A.: Topics on Real and Complex Singularities.Fried. Vieweg & Sohn Braunschweig/Wiesbaden (1987). Zbl 0628.14001, MR 1013785 |
| Reference:
|
[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). MR 0436203 |
| Reference:
|
[3] Mather, J. N.: Stability of $C^{\infty}$-mappings. IV: Classification of stable germs by $\Bbb R$-algebras.Publ. Math., Inst. Hautes Étud. Sci. 37 (1969), 223-248. Zbl 0202.55102, MR 0275460, 10.1007/BF02684889 |
| Reference:
|
[4] Mather, J. N., Yau, S. S. T.: Classification of isolated hypersurface singularities by their moduli algebras.Invent. Math. 69 (1982), 243-251. Zbl 0499.32008, MR 0674404, 10.1007/BF01399504 |
| . |
