4 papers
Abelian differentials with prescribed singularities
Quentin Gendron, Guillaume Tahar
The local invariants of a meromorphic Abelian differential on a Riemann surface of genus are the orders of zeros and poles, and the residues at the poles. The main result of th…
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…
Équation 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,…
On the locus of genus curves that admit meromorphic differentials with a zero of order and a pole of order
Abel Castorena, Quentin Gendron
The main goal of this article is to compute the class of the divisor of obtained by taking the closure of the image of by the forg…