Flat deformations of ${\mathbb P}^n$
Algebraic Geometry
2012-12-17 v1
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.
Cite
@article{arxiv.1212.3593,
title = {Flat deformations of ${\mathbb P}^n$},
author = {Carolina Araujo and José J. Ramón-Marí},
journal= {arXiv preprint arXiv:1212.3593},
year = {2012}
}
Comments
6 pages