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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.AG2005
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…