Publications (16)
The space of solvable Pell-Abel equations
Andrei Bogatyrev, Quentin Gendron
Pell-Abel equation is a functional equation of the form P^{2}-DQ^{2} = 1, with a given polynomial D free of squares and unknown polynomials P and Q. We show that the space of Pell-…
Towards a classification of connected components of the strata of -differentials
Dawei Chen, Quentin Gendron
A -differential on a Riemann surface is a section of the -th power of the canonical bundle. Loci of -differentials with prescribed number and multiplicities of zeros and p…
The moduli space of multi-scale differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron +2
We construct a compactification of the moduli spaces of abelian differentials on Riemann surfaces with prescribed zeroes and poles. This compactification, called the moduli space o…
Dihedral monodromy of cone spherical metrics
Quentin Gendron, Guillaume Tahar
Among metrics of constant positive curvature on a punctured compact Riemann surface with conical singularities at the punctures, dihedral monodromy means that the action of the mon…
Ãquation de Pell-Abel et applications
Quentin Gendron
In this paper, we show that there are solutions of every degree of the equation of Pell-Abel on some real hyperelliptic curve of genus if and only if . This result,…
Strata of -differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron +2
A -differential on a Riemann surface is a section of the -th power of the canonical line bundle. Loci of -differentials with prescribed number and multiplicities of zeros…