Uniform rationality of products with the plane

2025/08/11 by Banecki, Juliusz
#14E07 #14M20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.07729

Abstract

Let X be a nonsingular rational variety. We prove that X× ℂ² is uniformly rational. It follows that nonsingular stably rational varieties are stably uniformly rational.

Citations

• Retract rational varieties are uniformly retract rational
• On the rationality problem for low degree hypersurfaces
• Relative Stone-Weierstrass theorem for mappings between varieties
• Variations on the theme of Zariski's Cancellation Problem
• Equivalent Birational Embeddings III: cones
• On uniformly rational varieties

Related

• Around the uniform rationality I
• Equivariantly uniformly rational varieties
• On uniformly rational varieties
• Retract rational varieties are uniformly retract rational
• Uniformly rational varieties with torus action