Infinite transitivity and polynomial vector fields
代数几何
2026-05-21 v1
摘要
We prove that for many pairs of root subgroups of the automorphism group the diagonal action of the group generated by on has an open orbit for any positive integer . The result is based on the study of the Lie algebra of polynomials in two variables with the standard Poisson bracket.
引用
@article{arxiv.2605.20480,
title = {Infinite transitivity and polynomial vector fields},
author = {Rafael B. Andrist and Ivan Arzhantsev},
journal= {arXiv preprint arXiv:2605.20480},
year = {2026}
}
备注
13 pages