Year: 2018
Type: article
Abstract: In this paper, we will prove that any $\mathbb{A}^{3}$ -form over a field $k$ of characteristic zero is trivial provided it has a locally nilpotent derivation satisfying certain properties. We will also show that the result of Kambayashi on the triviality of separable $\mathbb{A}^{2}$ -forms over a field $k$ extends to $\mathbb{A}^{2}$ -forms over any one-dimensional Noetherian domain containing $\mathbb{Q}$ .
Source: Nagoya Mathematical Journal
DOI: 10.1017/nmj.2018.45
Authors: AMARTYA KUMAR DUTTA, NEENA GUPTA, ANIMESH LAHIRI
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2905660209