Polynomial and regular images of ℝn

被引：0

作者：

José F. Fernando

J. M. Gamboa

机构：

[1] Univ. Autónoma de Madrid,Depto. Matemáticas, Facultad de Ciencias

[2] Univ. Complutense de Madrid,Depto. Álgebra, Facultad de Ciencias Matemáticas

来源：

Israel Journal of Mathematics | 2006年 / 153卷

关键词：

Regular Image; Irreducible Component; Open Quadrant; Zariski Closure; Exterior Boundary;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain new necessary conditions for ann-dimensional semialgebraic subset of ℝn to be a polynomial image of ℝn. Moreover, we prove that a large family of planar bidimensional semialgebraic sets with piecewise linear boundary are images of polynomial or regular maps, and we estimate in both cases the dimension of their generic fibers.

引用

页码：61 / 92

页数：31

共 5 条

[1] Fernando J. F.(2003)Polynomial images of R Journal of Pure and Applied Algebra 179 241-254
[2] Gamboa J. M.(2000)A geometry of polynomial transformations of the real plane Bulletin of the Polish Academy of Sciences. Mathematics 48 57-62
[3] Jelonek Z.(2002)Geometry of real polynomial mappings Mathematische Zeitschrift 239 321-333
[4] Jelonek Z.(1915)Körper und Systeme rationaler Funktionen Mathematische Annalen 76 161-196
[5] Nöther E.(undefined)undefined undefined undefined undefined-undefined

← 1 →