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
收藏
页码：59 / 79
页数：21
相关论文
共 50 条
  • [1] Detecting bifurcation values at infinity of real polynomials
    Dias, Luis Renato G.
    Tibar, Mihai
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2015, 279 (1-2) : 311 - 319
  • [2] Bifurcation values and stability of algebras of bounded polynomials
    Kurdyka, Krzysztof
    Michalska, Maria
    Spodzieja, Stanislaw
    [J]. ADVANCES IN GEOMETRY, 2014, 14 (04) : 631 - 646
  • [3] Detecting bifurcation values at infinity of real polynomials
    Luis Renato G. Dias
    Mihai Tibăr
    [J]. Mathematische Zeitschrift, 2015, 279 : 311 - 319
  • [4] On the monodromy of complex polynomials
    Dimca, A
    Némethi, A
    [J]. DUKE MATHEMATICAL JOURNAL, 2001, 108 (02) : 199 - 209
  • [5] The monodromy in the Hamiltonian Hopf bifurcation
    Duistermaat, JJ
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1998, 49 (01): : 156 - 161
  • [6] The monodromy in the Hamiltonian Hopf bifurcation
    J. J. Duistermaat
    [J]. Zeitschrift für angewandte Mathematik und Physik, 1998, 49 : 156 - 161
  • [7] MONODROMY OF DUAL INVERTIBLE POLYNOMIALS
    Ebeling, W.
    Gusein-Zade, S. M.
    [J]. MOSCOW MATHEMATICAL JOURNAL, 2011, 11 (03) : 463 - 472
  • [8] Polynomials with PSL(2) monodromy
    Guralnick, Robert M.
    Zieve, Michael E.
    [J]. ANNALS OF MATHEMATICS, 2010, 172 (02) : 1315 - 1359
  • [9] POLYNOMIALS WITH AGL-MONODROMY
    Moeller, Florian
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 140 (09) : 2967 - 2980
  • [10] On bifurcation braid monodromy of elliptic fibrations
    Lönne, M
    [J]. TOPOLOGY, 2006, 45 (04) : 785 - 806
12345