From formal smoothings to geometric smoothings

Let X be a projective, equidimensional, singular scheme over an algebraically closed field. Then the existence of a geometric smoothing (i.e. a family of deformations of X over a smooth base curve whose generic fibre is smooth) implies the existence of a formal smoothing as defined by Tziolas. In t...

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Bibliographic Details
Main Author: Alessandro Nobile
Format: Article
Language:English
Published: Sapienza Università Editrice 2023-06-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2023(3)/181-210.pdf