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Smoothness and tangent bundles of arithmetical schemes

Smoothness and tangent bundles of arithmetical schemes We study a notion of quasi-smoothness which makes possible to associate a canonical tangent bundle to certain arithmetical schemes (see [V1]). In this context we prove that we can associate a jacobian ideal to any irreducible subscheme. A class of regular centers, so that quasi-smoothness is preserved by blowing-up, will be enlarged and characterized by means of their jacobian ideal and some geometrical conditions, improving the results appearing in [V1]. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

Smoothness and tangent bundles of arithmetical schemes

Mathematische Zeitschrift , Volume 239 (1) – Jan 1, 2002

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References (3)

Publisher
Springer Journals
Copyright
Copyright © 2002 by Springer-Verlag Berlin Heidelberg
Subject
Legacy
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s002090100290
Publisher site
See Article on Publisher Site

Abstract

We study a notion of quasi-smoothness which makes possible to associate a canonical tangent bundle to certain arithmetical schemes (see [V1]). In this context we prove that we can associate a jacobian ideal to any irreducible subscheme. A class of regular centers, so that quasi-smoothness is preserved by blowing-up, will be enlarged and characterized by means of their jacobian ideal and some geometrical conditions, improving the results appearing in [V1].

Journal

Mathematische ZeitschriftSpringer Journals

Published: Jan 1, 2002

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