Newton polygons and families of polynomials
| dc.creator | Bodin, Arnaud | |
| dc.date | 2003-05-27 | |
| dc.date | 2004-01-26 | |
| dc.date.accessioned | 2026-07-07T04:58:18Z | |
| dc.date.available | 2026-07-07T04:58:18Z | |
| dc.description | We consider a continuous family $(f_s)$, $s\in[0,1]$ of complex polynomials in two variables with isolated singularities, that are Newton non-degenerate. We suppose that the Euler characteristic of a generic fiber is constant (or equivalently the sum of the affine Milnor number and the Milnor number at infinity $μ(s)+λ(s)$ is constant). We firstly prove that the set of critical values at infinity depends continuously on $s$, and secondly that the degree of the $f_s$ is constant (up to an algebraic automorphism of $\Cc^2$). | |
| dc.description | 12 pages, 8 figures. Final version, to appear in Manuscripta Mathematica | |
| dc.identifier | https://arxiv.org/abs/math/0305377 | |
| dc.identifier | http://arxiv.org/abs/math/0305377 | |
| dc.identifier | manuscripta mathematica (2004, vol. 113, 371-382) | |
| dc.identifier | doi:10.1007/s00229-004-0440-6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67584 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 32S20; 14M25 | |
| dc.title | Newton polygons and families of polynomials | |
| dc.type | text |