BIFURCATION VALUES AND MONODROMY OF MIXED POLYNOMIALS

被引：18

作者：

Chen, Ying ^{[1
]}

Tibar, Mihai ^{[1
]}

机构：

[1] Univ Lille 1, Lab Paul Painleve, F-59655 Villeneuve Dascq, France

来源：

MATHEMATICAL RESEARCH LETTERS | 2012年 / 19卷 / 01期

关键词：

singularities of real polynomial maps; fibrations; bifurcation locus; Newton polyhedron; atypical values; regularity at infinity; semi-algebraic Sard type theorem; NEWTON BOUNDARY; MILNOR FIBRATION; SARD THEOREM; INFINITY; TOPOLOGY; HYPERSURFACES; SINGULARITIES; SET;

D O I：

10.4310/MRL.2012.v19.n1.a6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the bifurcation values of real polynomial maps f : R-2n -> R-2, which reflect the lack of asymptotic regularity at infinity. We formulate real counterparts of some structure results, which have been previously proved in case of complex polynomials by Kushnirenko, Nemethi and Zaharia and other authors, emphasizing the typical real phenomena that occur.

引用

页码：59 / 79

页数：21

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