26 citations · 70 across the 6 of their papers we have counts for
8 papers
Isoperiodic meromorphic forms with at least three simple poles
Liza Arzhakova, Gabriel Calsamiglia, Bertrand Deroin
In this paper we prove the connectedness of isoperiodic moduli spaces of meromorphic differentials with at least three simple poles on homologically marked smooth curves whose peri…
Isoperiodic meromorphic forms: two simple poles
Gabriel Calsamiglia, Bertrand Deroin
In this paper we prove that isoperiodic moduli spaces of meromorphic differentials with two simple poles on homologically marked smooth curves are non empty and connected, unless t…
The Riemann-Hilbert mapping for -systems over genus two curves
Gabriel Calsamiglia, Bertrand Deroin, Viktoria Heu +1
We prove in two different ways that the monodromy map from the space of irreducible -differential-systems on genus two Riemann surfaces, towards the character vari…
A transfer principle: from periods to isoperiodic foliations
Gabriel Calsamiglia, Bertrand Deroin, Stefano Francaviglia
We classify the possible closures of leaves of the isoperiodic foliation (sometimes called absolute period foliation) defined on the Hodge bundle, i.e. the moduli space of abelian…
Extension of germs of holomorphic foliations
Gabriel Calsamiglia, Paulo Sad
We consider the problem of extending germs of plane holomorphic foliations to foliations of compact surfaces. We show that the germs that become regular after a single blow up and…
The oriented graph of multi-graftings in the Fuchsian case
Gabriel Calsamiglia, Bertrand Deroin, Stefano Francaviglia
We prove the connectedness and calculate the diameter of the oriented graph of graftings associated to exotic complex projective structures on a compact surface S with a given holo…
Branched projective structures with quasi-Fuchsian holonomy
Gabriel Calsamiglia, Bertrand Deroin, Stefano Francaviglia
We prove that if S is a closed compact surface of negative Euler characteristic, and if R is a quasi-Fuchsian representation in PSL(2,C), then the deformation space M(k,R) of branc…
Singular sets of holonomy maps for algebraic foliations
Gabriel Calsamiglia, Bertrand Deroin, Sidney Frankel +1
In this article we investigate the natural domain of definition of a holonomy map associated to a singular holomorphic foliation of the complex projective plane. We prove that germ…