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arXiv · 1212.3593

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

Carolina Araujo·José J. Ramón-Marí
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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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Carolina Araujo, José J. Ramón-Marí. 2012-12-14. Flat deformations of ${\mathbb P}^n$. https://arxiv.org/abs/1212.3593

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