caa a22 4500 397532911 CHVBK 20180308164656.0 cr unu---uuuuu 161202e199502 xx s 000 0 eng 10.1112/jlms/51.1.105 doi (NATIONALLICENCE)oxford-10.1112/jlms/51.1.105 On Milnor Fibrations of Arrangements [Elektronische Daten] [Daniel C. Cohen, Alexander I. Suciu] 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. We also obtain combinatorial formulas for these invariants of the Milnor fiber of a generic arrangement of arbitrary dimension using these methods. © The London Mathematical Society Notes and Papers nationallicence Cohen Daniel C. Department of Mathematics, University of California Davis, California 95616-8633, USA E-mail: cohen@math.ucdavis.edu aut Suciu Alexander I. Department of Mathematics, Northeastern University Boston, Massachusetts 02115, USA E-mail: alexsuciu@neu.edu aut Journal of the London Mathematical Society Oxford University Press 51/1(1995-02), 105-119 0024-6107 51:1<105 1995 51 jlms https://doi.org/10.1112/jlms/51.1.105 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1112/jlms/51.1.105 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cohen Daniel C. Department of Mathematics, University of California Davis, California 95616-8633, USA E-mail: cohen@math.ucdavis.edu aut NATIONALLICENCE 700 1- Suciu Alexander I. Department of Mathematics, Northeastern University Boston, Massachusetts 02115, USA E-mail: alexsuciu@neu.edu aut NATIONALLICENCE 773 0- Journal of the London Mathematical Society Oxford University Press 51/1(1995-02), 105-119 0024-6107 51:1<105 1995 51 jlms Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford