Séminaire de Théorie des Nombres de Montpellier
lundi 04 juin 2007 à 15:00 - salle TD32
Nick Shepherd-Barron (University of Cambridge)
« Thomae's formulae for non-hyperelliptic curves »
Thomae gave a formula for the ratios of the theta-constants on the Jacobian of a hyperelliptic curve, in terms of the cross-ratios of the branch points. We give a formula for these ratios in the non-hyperelliptic case, in terms of determinants of twisted pluricanonical differentials.