3 papers
math.AG2026
Certaines fibrations en surfaces quadriques réelles
Jean-Louis Colliot-Thélène, Alena Pirutka
We consider the question whether a real threefold X fibred into quadric surfaces over the real projective line is stably rational (over R) if the topological space X(R) is connecte…
math.AG2025
Notes sur l'application d'Albanese pour les zéro-cycles
Jean-Louis Colliot-Thélène
For a smooth projective variety X over an arbitrary field k, we discuss the surjectivity of the Albanese map from the Chow group of zero-cycles of degree zero on X to the group of…
math.AG2025
Variétés réelles connexes non stablement rationnelles
Jean-Louis Colliot-Thélène, Alena Pirutka, Federico Scavia
Let be the field of real Puiseux series. It is a real closed field. We construct the first examples of smooth intersections of two quadrics in and smooth cubic…