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The minimal formal model of a curve singularity is zero-dimensional.

Authors :
Bourqui, David
Source :
Journal of Algebra. Nov2023, Vol. 633, p317-361. 45p.
Publication Year :
2023

Abstract

The minimal formal model of a curve singularity describes the non-trivial part of the infinitesimal deformations of the Puiseux parametrizations of the singularity. We show that it is of dimension zero, and effectively computable. We also show that it parameterizes the deformations of the normalization morphism which leave the local ring of the singularity fixed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00218693
Volume :
633
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
169358854
Full Text :
https://doi.org/10.1016/j.jalgebra.2023.05.043