8 citations · 9 across the 3 of their papers we have counts for
4 papers
A vanishing result for the first twisted cohomology of affine varieties and applications to line arrangements
Pauline Bailet, Alexandru Dimca, Masahiko Yoshinaga
A general vanishing result for the first cohomology group of affine smooth complex varieties with values in rank one local systems is established. This is applied to the determinat…
On two pencils of cubic curves
Pauline Bailet
We give two examples of plane curve arrangements of pencil type which are very close to line arrangements, though the action of the monodromy operator on the first cohomology group…
Homology graph of real arrangements and monodromy of Milnor Fiber
Pauline Bailet, Simona Settepanella
We study the first homology group of the Milnor fiber of sharp arrangements in the real projective plane. Our work relies on the minimal Salvetti complex of the deconing arrangemen…
Vanishing results for the Aomoto complex of real hyperplane arrangements via minimality
Pauline Bailet, Masahiko Yoshinaga
We prove vanishing results of the cohomology groups of Aomoto complex over arbitrary coefficient ring for real hyperplane arrangements. The proof is using minimality of arrangement…