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Article Dans Une Revue Journal of Algebra Année : 2023

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

Résumé

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.
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Dates et versions

hal-03753710 , version 1 (18-08-2022)

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David Bourqui. The minimal formal model of a curve singularity is zero-dimensional. Journal of Algebra, 2023, 633, pp.317-361. ⟨10.1016/j.jalgebra.2023.05.043⟩. ⟨hal-03753710⟩
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