On the Milnor Monodromy of the Exceptional Reflection Arrangement of Type $G_{31}$
Documenta mathematica, Tome 23 (2018), pp. 1-14
Voir la notice de l'article provenant de la source EMS Press
Combining recent results by A. D. Mačinic et al. [Doc. Math. (Bielefeld) 22, 135–150 (2017; Zbl 1358.14020)] with a spectral sequence and computer aided computations, we determine the monodromy action on H1(F,C), where F denotes the Milnor fiber of the hyperplane arrangement associated to the exceptional irreducible complex reflection group G31. This completes the description given by the first author of such monodromy operators for all the other irreducible complex reflection groups.
Classification :
32S22, 32S35, 32S55
Mots-clés : monodromy, Milnor fiber, hyperplane arrangement, complex reflection group
Mots-clés : monodromy, Milnor fiber, hyperplane arrangement, complex reflection group
Alexandru Dimca; Gabriel Sticlaru. On the Milnor Monodromy of the Exceptional Reflection Arrangement of Type $G_{31}$. Documenta mathematica, Tome 23 (2018), pp. 1-14. doi: 10.4171/dm/610
@article{10_4171_dm_610,
author = {Alexandru Dimca and Gabriel Sticlaru},
title = {On the {Milnor} {Monodromy} of the {Exceptional} {Reflection} {Arrangement} of {Type} $G_{31}$},
journal = {Documenta mathematica},
pages = {1--14},
year = {2018},
volume = {23},
doi = {10.4171/dm/610},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/610/}
}
TY - JOUR
AU - Alexandru Dimca
AU - Gabriel Sticlaru
TI - On the Milnor Monodromy of the Exceptional Reflection Arrangement of Type $G_{31}$
JO - Documenta mathematica
PY - 2018
SP - 1
EP - 14
VL - 23
UR - http://geodesic.mathdoc.fr/articles/10.4171/dm/610/
DO - 10.4171/dm/610
ID - 10_4171_dm_610
ER -
Cité par Sources :