1 citations · 2 across the 3 of their papers we have counts for
9 papers
The Wu relations in real algebraic geometry
Olivier Benoist, Olivier Wittenberg
We construct and study relations between Chern classes and Galois cohomology classes in the Gal(C/R)-equivariant cohomology of real algebraic varieties with no real points. We give…
Ãtale cohomology of Stein algebras
Olivier Benoist
We prove that the singular cohomology with finite coefficients of a finite-dimensional Stein space is isomorphic to the étale cohomology of the Stein algebra .…
On the rationality of some real threefolds
Olivier Benoist, Alena Pirutka
We study the rationality of some geometrically rational three-dimensional conic and quadric surface bundles, defined over the reals and more general real closed fields, for which t…
On the birational geometry of the parameter space for codimension 2 complete intersections
Olivier Benoist
Codimension 2 complete intersections in P^N have a natural parameter space \bar{H}: a projective bundle over a projective space given by the choice of the lower degree equation and…
Intermediate Jacobians and rationality over arbitrary fields
Olivier Benoist, Olivier Wittenberg
We prove that a three-dimensional smooth complete intersection of two quadrics over a field k is k-rational if and only if it contains a line defined over k. To do so, we develop a…
Tight approximation for rationally simply connected varieties
Olivier Benoist, Olivier Wittenberg
We prove that holomorphic maps from an open subset of a complex smooth projective curve to a complex smooth projective rationally simply connected variety can be approximated by al…