Details:
Title  Effective calculations of the multiplicity of polynomial mappings  Author(s)  Adam Różycki  Type  Article in Journal  Abstract  Abstract In this paper we give an effective characterization of the set of linear mappings ( L 1 , … , L n ) : C m → C n for which the multiplicity of a polynomial mapping F : C n → C m at an isolated zero a ∈ C n is equal to the codimension of the ideal ( L 1 ∘ F , … , L n ∘ F ) in the local ring O a n of holomorphic functions germs at a ∈ C n .  Keywords  Effective formulas, Intersection multiplicity, Gröbner bases  ISSN  00074497 
URL 
http://www.sciencedirect.com/science/article/pii/S0007449713000626 
Language  English  Journal  Bulletin des Sciences Mathématiques  Volume  138  Number  3  Pages  343  355  Year  2014  Edition  0  Translation 
No  Refereed 
No 
