2 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
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…