4 papers
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…
Singularities of divisors of low degree on abelian varieties
Olivier Debarre, Christopher Hacon
Building on previous work of Kollar, Ein, Lazarsfeld, and Hacon, we show that ample divisors of low degree on an abelian variety have mild singularities in case the abelian variety…
Fano varieties with high degree
Olivier Debarre
For any positive integer and any integer large enough, we construct a Fano variety with Picard number and dimension such that grows like $n^k…
On the Euler Characteristic of Generalized Kummer Varieties
Olivier Debarre
We apply the Yau-Zaslow-Beauville method to compute the Euler characteristic of the generalized Kummer varieties attached to a complex abelian surface (a calculation also done by G…