6 papers · 1 filter
Ampleness of intersections of translates of theta divisors in an abelian fourfold
O. Debarre, E. Izadi
We prove that the cotangent bundle of a complete intersection of two general translates of the theta divisor of the jacobian of a general curve of genus 4 is ample. From this the s…
Deforming curves in jacobians to non-jacobians II: curves in ,
E. Izadi
We introduce deformation theoretic methods for determining when a curve in a non-hyperelliptic jacobian will deform with to a non-jacobian. We apply these methods to…
Subvarieties of abelian varieties
E. Izadi
We discuss various constructions which allow one to embed a principally polarized abelian variety in the jacobian of a curve. Each of these gives representatives of multiples of th…
Deforming curves in jacobians to non-jacobians I: curves in
E. Izadi
We introduce deformation theoretic methods for determining when a curve in a non-hyperelliptic jacobian will deform with to a non-jacobian. We apply these methods to…
Some properties of second order theta functions on Prym varieties
E. Izadi, C. Pauly
Let be the two component Prym variety associated to an étale double cover of a non-hyperelliptic curve of genus and let and $|2Ξ_0…
The tangent space to the moduli space of vector bundles on a curve and the singular locus of the theta divisor of the jacobian
B. van Geemen, E. Izadi
We complete the proof of the fact that the moduli space of rank two bundles with trivial determinant embeds into the linear system of divisors on which are linearly eq…