On Separable $\A^2$ and $\A^3$-forms
Commutative Algebra
2019-03-07 v2
Abstract
In this paper, we will prove that any -form over a field of characteristic zero is trivial provided it has a locally nilpotent derivation satisfying certain properties. We will also show that the result of T. Kambayashi on the triviality of separable -forms over a field extends to -forms over any one-dimensional Noetherian domain containing .
Cite
@article{arxiv.1802.03777,
title = {On Separable $\A^2$ and $\A^3$-forms},
author = {Amartya Kumar Dutta and Neena Gupta and Animesh Lahiri},
journal= {arXiv preprint arXiv:1802.03777},
year = {2019}
}
Comments
Accepted In Nagoya Math. Journal