64 citations · 233 across the 33 of their papers we have counts for
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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…
Schémas de Fano
O. Debarre, L. Manivel
Let X be a subvariety of defined by equations of degrees , over an algebraically closed field k of any characteristic. We study properties of the Fano sche…
Trisecant Lines And Jacobians, II
Olivier Debarre
Let be a symmetric theta divisor on an indecomposable principally polarized complex abelian variety . The linear system defines a morphism $K:X\ra |2Θ|^*$, whose imag…
Minimal Cohomology Classes and Jacobians
Olivier Debarre
We show that on the Jacobian of a smooth curve of genus , any effective cycle in with cohomology class is a translate of or …
Degrees of Curves in Abelian Varieties
Olivier Debarre
The degree of a curve in a polarized abelian variety is the integer . When generates , we find a lower bound on which depends on and the degre…
Points of Low Degree on Smooth Plane Curves
Olivier Debarre, Matthew Klassen
The purpose of this note is to provide some applications of Faltings' recent proof of S. Lang's conjecture to smooth plane curves. Let be a smooth plane curve defined by an equ…