64 citations · 233 across the 33 of their papers we have counts for
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math.AG2005
Nondeformability of entire curves in projective hypersurfaces of high degree
Olivier Debarre, Gianluca Pacienza, Mihai Paun
In this article, we prove that there does not exist a family of entire curves in the universal family of hypersurfaces of degree in the complex projective space ${\mathb…
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…