ON THE TRIVIALITY OF AN $\mathbb A^2$-FIBRATION OVER A DVR
Abstract In this article, we show that any $\mathbb {A}^2$ -fibration over a discrete valuation ring which is also an $\mathbb {A}^2$ -form is necessarily a polynomial ring. Further, we show that separable $\mathbb {A}^2$ -forms over principal ideal domains are trivial.
Authors
- Parnashree Ghosh (ORCID: https://orcid.org/0009-0005-2461-1628)
- Neena Gupta (ORCID: https://orcid.org/0009-0000-3409-3418)
Institutions
- Tata Institute of Fundamental Research (IN)
- Indian Statistical Institute (IN)
Publication Details
- Journal
- Nagoya Mathematical Journal
- Published
- 2025-09-12
- DOI
- https://doi.org/10.1017/nmj.2025.10085
- Citations
- 1
- Primary Topic
- Polynomial and algebraic computation
- Type
- article
- Field-Weighted Citation Impact
- 1.50