Uniform rationality of products with the plane

Fuente: arXiv
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Main Author: Banecki, Juliusz
Format: Preprint
Published: 2025
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_version_ 1866914057861201920
author Banecki, Juliusz
author_facet Banecki, Juliusz
contents Let $X$ be a nonsingular rational variety. We prove that $X\times \mathbb{C}^2$ is uniformly rational. It follows that nonsingular stably rational varieties are stably uniformly rational.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07729
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Uniform rationality of products with the plane
Banecki, Juliusz
Algebraic Geometry
14M20, 14E07
Let $X$ be a nonsingular rational variety. We prove that $X\times \mathbb{C}^2$ is uniformly rational. It follows that nonsingular stably rational varieties are stably uniformly rational.
title Uniform rationality of products with the plane
topic Algebraic Geometry
14M20, 14E07
url https://arxiv.org/abs/2508.07729