Geodesic
On the Milnor Monodromy of the Exceptional Reflection Arrangement of Type $G_{31}$
Documenta mathematica, Tome 23 (2018), pp. 1-14
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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.
DOI : 10.4171/dm/610
Classification : 32S22, 32S35, 32S55
Mots-clés : monodromy, Milnor fiber, hyperplane arrangement, complex reflection group 
@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  - 
%0 Journal Article
%A Alexandru Dimca
%A Gabriel Sticlaru
%T On the Milnor Monodromy of the Exceptional Reflection Arrangement of Type $G_{31}$
%J Documenta mathematica
%D 2018
%P 1-14
%V 23
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/610/
%R 10.4171/dm/610
%F 10_4171_dm_610
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

Cité par Sources :