Séminaire de Théorie des Nombres de Montpellier :

Le 04 juin 2007 à 15:00 - salle TD32

Présentée par Shepherd-Barron Nick - 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.