Structure of A*-fibrations over one-dimensional seminormal semilocal domains

Bhatwadekar, S. M. ; Dutta, Amartya K. (1999) Structure of A*-fibrations over one-dimensional seminormal semilocal domains Journal of Algebra, 220 (2). pp. 561-573. ISSN 0021-8693

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Official URL: http://dx.doi.org//10.1006/jabr.1999.8182

Related URL: http://dx.doi.org/10.1006/jabr.1999.8182

Abstract

In this paper we give a structure theorem for an A*-fibration over a one-dimensional 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 A1-fibration (equivalently, an affine line A1) is actually A*. The structure theorem provides examples of A-fibrations over one-dimensional noetherian seminormal semilocal domains whose spectra are not affine open subschemes of any affine line A1 over the base ring. We also construct examples of nontrivial A*-fibrations over one-dimensional noetherian non-seminormal local domains whose spectra are open subschemes of A1-fibrations over the base ring.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:A*-fibrations; A-fibrations; Seminormality; Open Subscheme; Module of Differentials
ID Code:3393
Deposited On:11 Oct 2010 08:55
Last Modified:18 May 2011 09:38

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