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math.AG2025
Uniform rationality of products with the plane
Juliusz Banecki
Let be a nonsingular rational variety. We prove that is uniformly rational. It follows that nonsingular stably rational varieties are stably uniformly ra…
math.AG2025
Homotopy properties of regular mappings into real retract rational varieties
Juliusz Banecki
We study homotopy properties of regular mappings from spheres into a real retract rational variety . We show that the homotopy classes which are represented by such mappings for…