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math.CV2023
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-…
math.CV2022★ 3 cited
K-differentials with prescribed singularities
Quentin Gendron, Guillaume Tahar
We study the local invariants that a meromorphic -differential on a Riemann surface of genus can have for . These local invariants include the orders of zer…