TY - JOUR
T1 - Polynomial maps with maximal multiplicity and the special closure
AU - Bivià-Ausina, Carles
AU - Huarcaya, Jorge A.C.
PY - 2019/3/11
Y1 - 2019/3/11
N2 - In this article we characterize the polynomial maps F: C
n → C
n for which F
- 1 (0) is finite and their multiplicity μ(F) is equal to n! V
n (Γ ~
+ (F)) , where Γ ~
+ (F) is the global Newton polyhedron of F. As an application, we derive a characterization of those polynomial maps whose multiplicity is maximal with respect to a fixed Newton filtration.
AB - In this article we characterize the polynomial maps F: C
n → C
n for which F
- 1 (0) is finite and their multiplicity μ(F) is equal to n! V
n (Γ ~
+ (F)) , where Γ ~
+ (F) is the global Newton polyhedron of F. As an application, we derive a characterization of those polynomial maps whose multiplicity is maximal with respect to a fixed Newton filtration.
KW - Complex polynomial maps
KW - Milnor number
KW - Multiplicity
KW - Newton polyhedron
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85048367936&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85048367936&origin=inward
UR - http://www.mendeley.com/research/polynomial-maps-maximal-multiplicity-special-closure
U2 - 10.1007/s00605-018-1204-9
DO - 10.1007/s00605-018-1204-9
M3 - Article
SN - 0026-9255
VL - 188
SP - 413
EP - 429
JO - Monatshefte fur Mathematik
JF - Monatshefte fur Mathematik
IS - 3
ER -