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Results on Milnor Fibrations for Mixed Polynomials with Non-isolated Singularities
Bulletin of the Brazilian Mathematical Society, New Series ( IF 0.9 ) Pub Date : 2020-03-28 , DOI: 10.1007/s00574-020-00205-w
N. G. Grulha , R. S. Martins

In this article we investigate mixed polynomials and present conditions that can be applied on a specific class of polynomials in order to prove the existence of the Milnor Fibration, Milnor–LêFibration and the equivalence between them. We prove for this class the of functions that the Milnor–Lê fiber on a regular value is homeomorphic to the Milnor–Lê fiber on a critical value. We develop a criterion to verify the transversality property and apply it to a special case of the class of mixed polynomial.

中文翻译:

具有非孤立奇点的混合多项式的 Milnor Fibrations 的结果

在本文中,我们研究混合多项式和可应用于特定类别多项式的当前条件,以证明 Milnor Fibration、Milnor-LêFibration 的存在以及它们之间的等价性。我们为这类函数证明了正则值上的 Milnor-Lê 纤维与临界值上的 Milnor-Lê 纤维同胚。我们开发了一个标准来验证横向特性并将其应用于混合多项式类的特殊情况。
更新日期:2020-03-28
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