Tjurina number of a generic irreducible curve singularity

DOI10.1006/jabr.1997.7073zbMath0892.14015OpenAlexW2050623489MaRDI QIDQ1373206

Rosa Peraire

Publication date: 27 July 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/74a3fa3a257bc70b3a068b9513c03150561bd975

zbMATH Keywords

MathematicaTjurina numberequisingularity classcomponent of the moduli spaceplane analytic curve

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Computational aspects of algebraic curves (14Q05) Singularities of curves, local rings (14H20)

Related Items (6)

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 ⋮ Standard bases for local rings of branches and their modules of differentials ⋮ The minimal Tjurina number of irreducible germs of plane curve singularities ⋮ Classification of Algebroid Plane Curves with Semigroup ⟨6, 9, 19⟩ ⋮ On the Saito basis and the Tjurina number for plane branches

Uses Software

• Mathematica

Cites Work

• Le nombre de modules du germe de courbe plane \(x^ a+y^ b=0\). (The number of moduli of the germ of the plane curve \(x^ a+y^ b=0)\)
• Invariants polaires des courbes planes
• Sur les modules des singularités des courbes planes
• Geometric Quotients of Unipotent Group Actions
• Studies in Equisingularity II. Equisingularity in Codimension 1 (and Characteristic Zero)
• Semigroups Corresponding to Algebroid Branches in the Plane
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