Flat deformations of ${\mathbb P}^n$

Published 14 Dec 2012 in math.AG | (1212.3593v1)

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

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