Around the uniform rationality I
Algebraic Geometry
2019-11-07 v2
Abstract
We prove that there exist rational but not uniformly rational smooth algebraic varieties. The proof is based on computing a certain numerical obstruction developed in the case of compactifications of affine spaces. We show that for some particular compactifications this obstruction behaves differently compared to the uniformly rational situation.
Cite
@article{arxiv.1812.03427,
title = {Around the uniform rationality I},
author = {Ilya Karzhemanov},
journal= {arXiv preprint arXiv:1812.03427},
year = {2019}
}
Comments
10 pages; shortened version, title changed