Geodesic
Milnor fibers of real line arrangements
Journal of Singularities, Tome 7 (2013), pp. 220-237

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We study Milnor fibers of complexified real line arrangements. We give a new algorithm computing monodromy eigenspaces of the first cohomology. The algorithm is based on the description of minimal CW-complexes homotopic to the complements, and uses the real figure, that is, the adjacency relations of chambers. It enables us to generalize a vanishing result of Libgober, give new upper-bounds and characterize the A_3-arrangement in terms of non-triviality of Milnor monodromy. 
@article{10_5427_jsing_2013_7l,
     author = {Masahiko Yoshinaga},
     title = {Milnor fibers of real line arrangements},
     journal = {Journal of Singularities},
     pages = {220--237},
     publisher = {mathdoc},
     volume = {7},
     year = {2013},
     doi = {10.5427/jsing.2013.7l},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2013.7l/}
}
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Masahiko Yoshinaga. Milnor fibers of real line arrangements. Journal of Singularities, Tome 7 (2013), pp. 220-237. doi: 10.5427/jsing.2013.7l

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