Ojanguren, Manuel ; Parimala, Raman (2009) Singularities of generic characteristic polynomials and smooth finite splittings of Azumaya algebras over surfaces Manuscripta Mathematica, 130 (3). pp. 387-409. ISSN 0025-2611
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Official URL: http://www.springerlink.com/content/h61651k6845756...
Related URL: http://dx.doi.org/10.1007/s00229-009-0295-y
Abstract
Let k be an algebraically closed field. Let P(X11,..., Xnn, T) be the characteristic polynomial of the generic matrix (Xij) over k. We determine its singular locus as well as the singular locus of its Galois splitting. If X is a smooth quasi-projective surface over k and A an Azumaya algebra on X of degree n, using a method suggested by M. Artin, we construct finite smooth splittings for A of degree n over X whose Galois closures are smooth.
Item Type: | Article |
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Source: | Copyright of this article belongs to Springer. |
ID Code: | 34563 |
Deposited On: | 22 Apr 2011 14:38 |
Last Modified: | 17 May 2016 17:27 |
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