Page 1 Next

Displaying 1 – 20 of 41

Showing per page

Finite subschemes of abelian varieties and the Schottky problem

Martin G. Gulbrandsen, Martí Lahoz (2011)

Annales de l’institut Fourier

The Castelnuovo-Schottky theorem of Pareschi-Popa characterizes Jacobians, among indecomposable principally polarized abelian varieties ( A , Θ ) of dimension g , by the existence of g + 2 points Γ A in special position with respect to 2 Θ , but general with respect to Θ , 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...

Currently displaying 1 – 20 of 41

Page 1 Next