paper

On Separable $\A^2$ and $\A^3$-forms

arXiv:1802.03777 · doi:10.1017/nmj.2018.45

Abstract

In this paper, we will prove that any $\A^3$-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 $\A^2$-forms over a field extends to $\A^2$-forms over any one-dimensional Noetherian domain containing $\bQ$.

Accepted In Nagoya Math. Journal

On Separable $\A^2$ and $\A^3$-forms · wovepaper