Thom irregularity and Milnor tube fibrations
نویسندگان
چکیده
منابع مشابه
Hyperplane Arrangements and Milnor Fibrations
— There are several topological spaces associated to a complex hyperplane arrangement: the complement and its boundary manifold, as well as the Milnor fiber and its own boundary. All these spaces are related in various ways, primarily by a set of interlocking fibrations. We use cohomology with coefficients in rank 1 local systems on the complement of the arrangement to gain information on the h...
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We use covering space theory and homology with local coefficients to study the Milnor fiber of a homogeneous polynomial. These techniques are applied in the context of hyperplane arrangements, yielding an explicit algorithm for computing the Betti numbers of the Milnor fiber of an arbitrary real central arrangement in C3, as well as the dimensions of the eigenspaces of the algebraic monodromy. ...
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We give a condition to guarantee the existence of a Milnor fibration for real map germs of corank 1, which include cases that are not L-maps in the sense of Massey. Our approach exploits the structure of a family of functions.
متن کاملReal Analytic Milnor Fibrations and a Strong Lojasiewicz Inequality∗
We give a strong version of a classic inequality of Lojasiewicz; one which collapses to the usual inequality in the complex analytic case. We show that this inequality for real analytic functions allows us to construct a real Milnor fibration inside a ball.
متن کاملA Strong Lojasiewicz Inequality and Real Analytic Milnor Fibrations∗
We give a a strong version of a classic inequality of Lojasiewicz; one which collapses to the usual inequality in the complex analytic case. We show that this inequality for a pair of real analytic functions allows us to construct a real Milnor fibration.
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2018
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2017.12.001