Retract rational varieties are uniformly retract rational

Fuente: arXiv
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Main Author: Banecki, Juliusz
Format: Preprint
Published: 2024
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author Banecki, Juliusz
author_facet Banecki, Juliusz
contents We prove that nonsingular retract rational algebraic varieties over any infinite field are uniformly retract rational. As a consequence, every rational, projective, nonsingular complex variety is algebraically elliptic.
format Preprint
id arxiv_https___arxiv_org_abs_2411_17892
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Retract rational varieties are uniformly retract rational
Banecki, Juliusz
Algebraic Geometry
14E08, 14M20
We prove that nonsingular retract rational algebraic varieties over any infinite field are uniformly retract rational. As a consequence, every rational, projective, nonsingular complex variety is algebraically elliptic.
title Retract rational varieties are uniformly retract rational
topic Algebraic Geometry
14E08, 14M20
url https://arxiv.org/abs/2411.17892