24 citations · 142 across the 24 of their papers we have counts for
4 papers · 1 filter
The period-index problem for real surfaces
Olivier Benoist
We study when the period and the index of a class in the Brauer group of the function field of a real algebraic surface coincide. We prove that it is always the case if the surface…
Failure of the integral Hodge conjecture for threefolds of Kodaira dimension zero
Olivier Benoist, John Christian Ottem
We prove that the product of an Enriques surface and a very general curve of genus at least 1 does not satisfy the integral Hodge conjecture for 1-cycles. This provides the first e…
On the integral Hodge conjecture for real varieties, II
Olivier Benoist, Olivier Wittenberg
We establish the real integral Hodge conjecture for 1-cycles on various classes of uniruled threefolds (conic bundles, Fano threefolds with no real point, some del Pezzo fibrations…
On the integral Hodge conjecture for real varieties, I
Olivier Benoist, Olivier Wittenberg
We formulate the "real integral Hodge conjecture", a version of the integral Hodge conjecture for real varieties, and raise the question of its validity for cycles of dimension 1 o…