On the Saito basis and the Tjurina number for plane branches

DOI10.1090/TRAN/8019zbMath1443.14033arXiv1904.03645OpenAlexW2979731850WikidataQ127101074 ScholiaQ127101074MaRDI QIDQ4960249

Yohann Genzmer, Marcelo Escudeiro Hernandes

Publication date: 9 April 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03645

zbMATH Keywords

plane curveMilnor numberplane curve singularityTjurina numberSaito basis

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) 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 ⋮ On the quotient of Milnor and Tjurina numbers for two‐dimensional isolated hypersurface singularities ⋮ Monotonic invariants under blowups ⋮ The minimal Tjurina number of irreducible germs of plane curve singularities ⋮ Deformation and Smoothing of Singularities ⋮ Zariski Invariant For Non-Isolated Separatrices Through Jacobian Curves of Pseudo-Cuspidal Dicritical Foliations

Cites Work

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• Topological invariants and equidesingularization for holomorphic vector fields
• Tjurina number of a generic irreducible curve singularity
• Sur les modules des singularités des courbes planes
• Moduli of plane curve singularities with a single characteristic exponent
• On the number of generators of the torsion module of differentials
• On 1-forms on isolated complete intersection curve singularities
• The minimal Tjurina number of irreducible germs of plane curve singularities

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