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Flat deformations of ℙn

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Abstract

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

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Authors and Affiliations

  1. IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, RJ, Brazil

    Carolina Araujo

  2. Departamento de Física ICE — UFJF, Campus Universitário, 36036-330, Juiz de Fora, MG, Brazil

    José J. Ramón-Marí

Authors
  1. Carolina Araujo
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  2. José J. Ramón-Marí
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Correspondence to Carolina Araujo.

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Araujo, C., Ramón-Marí, J.J. Flat deformations of ℙn . Bull Braz Math Soc, New Series 45, 371–383 (2014). https://doi.org/10.1007/s00574-014-0054-x

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  • DOI: https://doi.org/10.1007/s00574-014-0054-x

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