Milnor fibrations of meromorphic functions
نویسندگان
چکیده
منابع مشابه
On Milnor Fibrations of Arrangements
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. ...
متن کاملHyperplane 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...
متن کاملReal Integral Closure and Milnor Fibrations
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 کاملMultinets, Parallel Connections, and Milnor Fibrations of Arrangements
The characteristic varieties of a space are the jump loci for homology of rank 1 local systems. The way in which the geometry of these varieties may vary with the characteristic of the ground field is reflected in the homology of finite cyclic covers. We exploit this phenomenon to detect torsion in the homology of Milnor fibers of projective hypersurfaces. One tool we use is the interpretation ...
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.
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2009
ISSN: 0024-6107
DOI: 10.1112/jlms/jdp027