WEIGHTED HOMOGENEOUS MAP GERMS OF CORANK ONE FROM C ³ TO C ³ AND POLAR MULTIPLICITIES
For quasi-homogeneous and finitely determined corank one map germs f : (C ³ ; 0) -> (C ³ ; 0) we obtain formulae in function of the degree and weight of f for invariantes on the stable types of f, as polar multiplicities, number of Milnor, number of Lê. We minimize also the number of invariantes...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2002
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oai:scielo:S0716-091720020003000032003-03-31WEIGHTED HOMOGENEOUS MAP GERMS OF CORANK ONE FROM C ³ TO C ³ AND POLAR MULTIPLICITIESJORGE,VÍCTOR H.For quasi-homogeneous and finitely determined corank one map germs f : (C ³ ; 0) -> (C ³ ; 0) we obtain formulae in function of the degree and weight of f for invariantes on the stable types of f, as polar multiplicities, number of Milnor, number of Lê. We minimize also the number of invariantes for 7, to resolve the problem that decides the Whitney equisingularity of families of such maps germs. To finalize use these formulae to increase the list of invariants of some normal forms of finfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.21 n.3 20022002-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000300003en10.4067/S0716-09172002000300003 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| description |
For quasi-homogeneous and finitely determined corank one map germs f : (C ³ ; 0) -> (C ³ ; 0) we obtain formulae in function of the degree and weight of f for invariantes on the stable types of f, as polar multiplicities, number of Milnor, number of Lê. We minimize also the number of invariantes for 7, to resolve the problem that decides the Whitney equisingularity of families of such maps germs. To finalize use these formulae to increase the list of invariants of some normal forms of f |
| author |
JORGE,VÍCTOR H. |
| spellingShingle |
JORGE,VÍCTOR H. WEIGHTED HOMOGENEOUS MAP GERMS OF CORANK ONE FROM C ³ TO C ³ AND POLAR MULTIPLICITIES |
| author_facet |
JORGE,VÍCTOR H. |
| author_sort |
JORGE,VÍCTOR H. |
| title |
WEIGHTED HOMOGENEOUS MAP GERMS OF CORANK ONE FROM C ³ TO C ³ AND POLAR MULTIPLICITIES |
| title_short |
WEIGHTED HOMOGENEOUS MAP GERMS OF CORANK ONE FROM C ³ TO C ³ AND POLAR MULTIPLICITIES |
| title_full |
WEIGHTED HOMOGENEOUS MAP GERMS OF CORANK ONE FROM C ³ TO C ³ AND POLAR MULTIPLICITIES |
| title_fullStr |
WEIGHTED HOMOGENEOUS MAP GERMS OF CORANK ONE FROM C ³ TO C ³ AND POLAR MULTIPLICITIES |
| title_full_unstemmed |
WEIGHTED HOMOGENEOUS MAP GERMS OF CORANK ONE FROM C ³ TO C ³ AND POLAR MULTIPLICITIES |
| title_sort |
weighted homogeneous map germs of corank one from c ³ to c ³ and polar multiplicities |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2002 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000300003 |
| work_keys_str_mv |
AT jorgevictorh weightedhomogeneousmapgermsofcorankonefromc3toc3andpolarmultiplicities |
| _version_ |
1718439727919529984 |