Singularities of generic characteristic polynomials and smooth finite splittings of Azumaya algebras over surfaces
Ojanguren, Manuel; Parimala, Raman
2009

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Abstract

Let k be an algebraically closed field. Let P(X-11,...,X-nn, T) be the characteristic polynomial of the generic matrix (X-ij) 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.

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Title Singularities of generic characteristic polynomials and smooth finite splittings of Azumaya algebras over surfaces
Author(s) Ojanguren, Manuel ; Parimala, Raman
Published in Manuscripta Mathematica
Volume 130
Pages 387-409
Date 2009
Publisher Springer-Verlag
ISSN 0025-2611
Note National Licences
DOI https://doi.org/10.1007/s00229-009-0295-y
Other identifier(s) View record in Web of Science
Laboratories SB
Record Appears in Scientific production and competences > Unattributed publications > SB - SB - Unattributed publications
Scientific production and competences > SB - School of Basic Sciences > SB - Unattributed publications
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date 2010-11-30

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