activity
19982005
collaborators

6 papers

math.AG2005

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…

math.AG2004

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…

math.AG2001

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…

math.AG2001

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…

math.AG1999

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…

math.AG1998

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…