678 citations
- École Normale Supérieure - PSLFR647 papers
- Centre National de la Recherche ScientifiqueFR243 papers
- Université Paris Sciences et LettresFR162 papers
- Centre de Recherche en Mathématiques de la DécisionFR56 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR55 papers
- Laboratoire de Mathématiques d'OrsayFR53 papers
- Sorbonne UniversitéFR49 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR45 papers
- Université Paris CitéFR42 papers
- Université Paris Dauphine-PSLFR34 papers
- Université Pierre-et-Marie-CurieFR33 papers
- Laboratoire Jacques-Louis LionsFR31 papers
85 papers · 1 filter
The Pythagoras number of fields of transcendence degree over
Olivier Benoist
We show that any sum of squares in a field of transcendence degree over is a sum of squares, answering a question of Pop and Pfister. We deduce this result fro…
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…
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 image of higher signature maps
Samuel Lerbet
Given a smooth variety over the field of real numbers and a line bundle on with associated topological line bundle , w…
On the field of meromorphic functions on a Stein surface
Olivier Benoist
We prove that fields of meromorphic functions on Stein surfaces have cohomological dimension 2, and solve the period-index problem and Serre's conjecture II for these fields. We ob…
On the smoothability problem with rational coefficients
Olivier Benoist, Claire Voisin
We consider the problem of smoothing algebraic cycles with rational coefficients on smooth projective complex varieties up to homological equivalence. We show that a solution to th…