Retract rational varieties are uniformly retract rational
Algebraic Geometry
2025-04-03 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2411.17892,
title = {Retract rational varieties are uniformly retract rational},
author = {Juliusz Banecki},
journal= {arXiv preprint arXiv:2411.17892},
year = {2025}
}