On the triviality of an $\mathbb{A}^2$-fibration over a DVR
Commutative Algebra
2023-06-29 v1 Algebraic Geometry
Abstract
In this paper we show that any -fibration over a discrete valuation ring which is also an -form is necessarily a polynomial ring. Further we show that separable -forms over PIDs are trivial.
Cite
@article{arxiv.2306.16249,
title = {On the triviality of an $\mathbb{A}^2$-fibration over a DVR},
author = {Parnashree Ghosh and Neena Gupta},
journal= {arXiv preprint arXiv:2306.16249},
year = {2023}
}