2 citations · 2 across the 1 of their papers we have counts for
5 papers
Mapping class group orbit closures for non-orientable surfaces
Viveka Erlandsson, Matthieu Gendulphe, Irene Pasquinelli +1
Let be a connected non-orientable surface with negative Euler characteristic and of finite type. We describe the possible closures in and $\mathcal P\mat…
Representations of Deligne-Mostow lattices into PGL(3, C)
E Falbel, I Pasquinelli, A Ucan-Puc
We classify representations of a class of Deligne-Mostow lattices into PGL(3;C). In particular, we show local rigidity for the representations (of Deligne-Mostow lattices with 3-fo…
Complex hyperbolic orbifolds and Lefschetz fibrations
Elisha Falbel, Irene Pasquinelli
A class of complex hyperbolic lattices in PU(2,1) called the Deligne-Mostow lattices has been reinterpreted by Hirzebruch and others in terms of line arrangements. They use branche…
Fundamental polyhedra for all Deligne-Mostow lattices in PU(2,1)
Irene Pasquinelli
In this work we will build a fundamental domain for Deligne-Mostow lattices in PU(2,1) with 2-fold symmetry, which complete the whole list of Deligne-Mostow lattices in dimension 2…
Cutting sequences in Veech surfaces
Irene Pasquinelli
A cutting sequence is a symbolic coding of a linear trajectory on a translation surface corresponding to the sequence of sides hit in a polygonal representation of the surface. We…