Abstract
Let F: Cn→ Cn be a polynomial map such that F- 1(0) is finite. We analyze the connections between the multiplicity of F, the Newton polyhedron of F and the set of special monomials with respect to F, which is a notion motivated by the integral closure of ideals in the ring of analytic function germs (Cn, 0) → C. In particular, we characterize the polynomial maps whose set of special monomials is maximal.
Original language | English |
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Article number | 71 |
Journal | Mediterranean Journal of Mathematics |
Volume | 14 |
Issue number | 2 |
DOIs | |
State | Published - 1 Apr 2017 |
Bibliographical note
Funding Information:The first author was partially supported by DGICYT Grant MTM2015-64013-P. The second author was partially supported by FAPESP-BEPE 2012/22365-8.
Publisher Copyright:
© 2017, Springer International Publishing.
Keywords
- Integral closure
- Multiplicity
- Newton polyhedron
- Polynomial maps