“…By our choice of α ∈ Div 1 X we can write (2g − 2)α =ω +μ whereμ is a suitable admissible line bundle on Spec k. Then, applying Theorem 6.1 with D = (g − 1)α we find As it turns out, in [46] precisely the right amount of combinatorics is carried out in order to determine the universal constant b ′ . More precisely, combining [46, Specializing to a curve of genus g over some number field k such that the associated jacobian has everywhere good reduction (such curves exist by [36, Théorème 0.7, Exemple 0.9]), and using that ω,ω is always positive, we deduce from Theorem 5.3 that a = 1 12 .…”