Personal tools
You are here: Home Publications Theta divisors with curve summands and the Schottky problem

Theta divisors with curve summands and the Schottky problem

Stefan Schreieder

Number 8
Author Stefan Schreieder
Year 2014

We prove the following converse of Riemann's Theorem: Let (A,\Theta) be an indecomposable principally polarized abelian variety whose theta divisor can be written as a sum of a curve and a codimension two subvariety \Theta=C+Y. Then C is smooth, A is the Jacobian of C, and Y is a translate of W_{g-2}(C). As applications, we solve the DPC Problem for theta divisors and characterize Jacobians by the existence of a d-dimensional subvariety with curve summand whose twisted ideal sheaf is a GV-sheaf.

More information about this publication…

Document Actions
January 2019 »
January
MoTuWeThFrSaSu
123456
78910111213
14151617181920
21222324252627
28293031