The minimal Tjurina number of irreducible germs of plane curve singularities

DOI10.1512/iumj.2021.70.8583zbMath1477.14050arXiv1904.02652OpenAlexW3196867570MaRDI QIDQ5153381

Guillem Blanco, Maria Alberich-Carramiñana, Patricio Almirón, Alejandro Melle-Hernández

Publication date: 29 September 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02652

zbMATH Keywords

Milnor numberTjurina numbercurve singularities

Mathematics Subject Classification ID

Plane and space curves (14H50) Singularities of curves, local rings (14H20) Local complex singularities (32S05)

Related Items (6)

On the analytic invariants and semiroots of plane branches ⋮ Polar germs, Jacobian ideal and analytic classification of irreducible plane curve singularities ⋮ On the quotient of Milnor and Tjurina numbers for two‐dimensional isolated hypersurface singularities ⋮ The Tjurina number for Sebastiani-Thom type isolated hypersurface singularities ⋮ On the Saito basis and the Tjurina number for plane branches ⋮ Deformation and Smoothing of Singularities

Cites Work

• A note on a question of Dimca and Greuel
• Modules de feuilletages holomorphes singuliers. I: équisingularité. (Modules of singular holomorphic foliations. I: Equisingularity)
• Tjurina number of a generic irreducible curve singularity
• Notes on the Classification of Singularities
• The Invariance of Milnor's Number Implies the Invariance of the Topological Type
• Sur les modules des singularités des courbes planes
• On 1-forms on isolated complete intersection curve singularities
• On the Saito basis and the Tjurina number for plane branches
• Introduction to Singularities and Deformations
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