Geodesic
Vanishing results for the Aomoto complex of real hyperplane arrangements via minimality
Journal of Singularities, Tome 14 (2016), pp. 74-90

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We prove vanishing results for the cohomology groups of the Aomoto complex over an arbitrary coefficient ring for real hyperplane arrangements. The proof uses the minimality of arrangements and descriptions of the Aomoto complex in terms of chambers. Our methods are used to present a new proof for the vanishing theorem of local system cohomology groups, a result first proved by Cohen, Dimca, and Orlik. 
@article{10_5427_jsing_2016_14e,
     author = {Pauline Bailet and Masahiko Yoshinaga},
     title = {Vanishing results for the {Aomoto} complex of real hyperplane arrangements via minimality},
     journal = {Journal of Singularities},
     pages = {74--90},
     publisher = {mathdoc},
     volume = {14},
     year = {2016},
     doi = {10.5427/jsing.2016.14e},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2016.14e/}
}
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Pauline Bailet; Masahiko Yoshinaga. Vanishing results for the Aomoto complex of real hyperplane arrangements via minimality. Journal of Singularities, Tome 14 (2016), pp. 74-90. doi: 10.5427/jsing.2016.14e

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