In this paper we give a structure theorem for an A \* -fibration over a onedimensional noetherian seminormal semilocal domain and show that, in this situation, any A \* -fibration whose spectrum occurs as an affine open subscheme of the spectrum of an A 1 -fibration (equivalently, an affine line A 1
Structure of A2-fibrations over one-dimensional noetherian domains
โ Scribed by T. Asanuma; S.M. Bhatwadekar
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 789 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
โฆ Synopsis
Let R be a one-dimensional noetherian domain containing the field Q of rational numbers. Let A be an A'-fibration over R. Then there exists HE A such that A is an A'-fibration over R[H]. As a consequence, if a,,, is free then A = R['].
๐ SIMILAR VOLUMES
In this paper all coordinates in two variables over a Noetherian Q-domain of Krull dimension one are proved to be stably tame. In order to do this, some results concerning stable tameness of polynomials in general are shown. Furthermore, we deduce that all automorphisms in two variables over a Noeth
In this paper we classify n + 1 dimensional n-Lie algebras over a field F of characteristic 2 and prove that there are no simple n + 2 dimensional n-Lie algebras.