Finite subschemes of abelian varieties and the Schottky problem

@article{Gulbrandsen2010FiniteSO,
  title={Finite subschemes of abelian varieties and the Schottky problem},
  author={Martin G. Gulbrandsen and Mart'i Lahoz},
  journal={arXiv: Algebraic Geometry},
  year={2010}
}
The Castelnuovo-Schottky theorem of Pareschi-Popa characterizes Jacobians, among indecomposable principally polarized abelian varieties of dimension g, by the existence of g+2 points in general position with respect to the principal polarization, but special with respect to twice the polarization, 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… Expand

Figures from this paper

Decomposable theta divisors and generic vanishing
Schottky via the punctual Hilbert scheme
Chern degree functions

References

SHOWING 1-10 OF 26 REFERENCES
Castelnuovo theory and the geometric Schottky problem
Cayley-Bacharach theorems and conjectures
Generic vanishing and minimal cohomology classes on abelian varieties
On subvarieties of abelian varieties
A criterion for Jacobi varieties
Residues and zero-cycles on algebraic varieties
A new Proof of Torelli's Theorem
...
1
2
3
...