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Flat deformations of ℙ n

Flat deformations of ℙ n In this paper we study projective flat deformations of ℙ n . We prove that the singular fibers of a projective flat deformation of ℙ n appear either in codimension 1 or over singular points of the base. We also describe projective flat deformations of ℙ n with smooth total space, and discuss flatness criteria. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

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References (33)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-014-0054-x
Publisher site
See Article on Publisher Site

Abstract

In this paper we study projective flat deformations of ℙ n . We prove that the singular fibers of a projective flat deformation of ℙ n appear either in codimension 1 or over singular points of the base. We also describe projective flat deformations of ℙ n with smooth total space, and discuss flatness criteria.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Oct 1, 2014

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