7 citations · 15 across the 12 of their papers we have counts for
4 papers · 1 filter
Affine surfaces and their Veech groups
Eduard Duryev, Charles Fougeron, Selim Ghazouani
We introduce a class of objects which we call 'affine surfaces'. These provide families of foliations on surfaces whose dynamics we are interested in. We present and analyze a coup…
Mapping class group dynamics and the holonomy of branched affine structures
Selim Ghazouani
We classify, up to few exceptions, the orbit closures of the -action on the affine character variety . We obtain from this classificat…
Moduli spaces of flat tori and elliptic hypergeometric functions
Selim Ghazouani, Luc Pirio
In the genus one case, we make explicit some constructions of Veech on flat surfaces and generalize some geometric results of Thurston about moduli spaces of flat spheres as well a…
Moduli spaces of flat tori with prescribed holonomy
Selim Ghazouani, Luc Pirio
We generalise to the genus one case several results of Thurston concerning moduli spaces of flat Euclidean structures with conical singularities on the two dimensional sphere. More…