Factorisation of generalised theta functions. I.
Fibré déterminant et courbes relatives
Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta. II
Finite subschemes of abelian varieties and the Schottky problem
The Castelnuovo-Schottky theorem of Pareschi-Popa characterizes Jacobians, among indecomposable principally polarized abelian varieties of dimension , by the existence of points in special position with respect to , but general with respect to , and furthermore states that such collections of points must be contained in an Abel-Jacobi curve. Building on the ideas in the original paper, we give here a self contained, scheme theoretic proof of the theorem, extending it to finite, possibly...
Fonctions theta du second ordre sur la jacobienne d'une courbe lisse.
Fuchsian groups and uniformization of Hurwitz spaces.