64 citations · 233 across the 33 of their papers we have counts for
4 papers · 2 filters
Cohomological characterizations of the complex projective space
Olivier Debarre
In this survey, we discuss whether the complex projective space can be characterized by its integral cohomology ring among compact complex manifolds.
Lines on cubic hypersurfaces over finite fields
Olivier Debarre, Antonio Laface, Xavier Roulleau
We show that smooth cubic hypersurfaces of dimension defined over a finite field contain a line defined over in each of the following cases: - and…
Gushel--Mukai varieties: classification and birationalities
Olivier Debarre, Alexander Kuznetsov
We perform a systematic study of Gushel-Mukai varieties---quadratic sections of linear sections of cones over the Grassmannian Gr(2,5). This class of varieties includes Clifford ge…
Rational cohomology tori
Olivier Debarre, Zhi Jiang, Martí Lahoz +1
We study normal compact Kähler spaces whose rational cohomology ring is isomorphic to that of a complex torus. We call them rational cohomology tori. We classify, up to dimension t…