Structure of A2-fibrations over one-dimensional noetherian domains

Asanuma, T. ; Bhatwadekar, S. M. (1997) Structure of A2-fibrations over one-dimensional noetherian domains Journal of Pure and Applied Algebra, 115 (1). pp. 1-13. ISSN 0022-4049

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00224...

Related URL: http://dx.doi.org/10.1016/S0022-4049(96)00005-9

Abstract

Let R be a one-dimensional noetherian domain containing the field Q of rational numbers. Let A be an A2-fibration over R. Then there exists H ∈ A such that A is an A1-fibration over R[H]. As a consequence, if OmegaA/R is free then A = R[2].

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