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math.GT2021★ 1 cited
The Klein quartic maximizes the multiplicity of the first positive eigenvalue of the Laplacian
Maxime Fortier Bourque, Bram Petri
We prove that Klein quartic maximizes the multiplicity of the first positive eigenvalue of the Laplacian among all closed hyperbolic surfaces of genus , with multiplicity equal…
math.GT2021★ 1 cited
The extremal length systole of the Bolza surface
Maxime Fortier Bourque, Dídac Martínez-Granado, Franco Vargas Pallete
We prove that the extremal length systole of genus two surfaces attains a strict local maximum at the Bolza surface, where it takes the value .