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Two-dimensional stable tameness over Noetherian domains of dimension one

✍ Scribed by Joost Berson

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 172 KB
Volume: 178
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(02)00179-2

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✦ Synopsis

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 Noetherian reduced ring of dimension zero are tame.

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Structure of A2-fibrations over one-dime

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✍ T. Asanuma; S.M. Bhatwadekar 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 789 KB

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['].