Results on Milnor Fibrations for Mixed Polynomials with Non-isolated Singularities

被引：0
作者：
N. G. Grulha
R. S. Martins
机构：
[1] USP,Instituto de Ciências Matemáticas e de Computação
[2] Universidade Federal de Santa Catarina-UFSC. R. Dona Francisca,undefined
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2021年 / 52卷
关键词：
Milnor fibration; Milnor–Lê fibration; Mixed polynomial; Non-isolated singularities; Transversality property; d-Regularity; Primary 58K45; 32S55; Secondary 58K05;
D O I：
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学科分类号：
摘要：
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.
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页码：327 / 351
页数：24
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