Displaying similar documents to “Moduli of plane curve singularities with C*-action”

Families of linear differential equations related to the second Painlevé equation

Marius van der Put (2011)

Banach Center Publications

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This paper is a sequel to [vdP-Sa] and [vdP]. The two classes of differential modules (0,-,3/2) and (-,-,3), related to PII, are interpreted as fine moduli spaces. It is shown that these moduli spaces coincide with the Okamoto-Painlevé spaces for the given parameters. The geometry of the moduli spaces leads to a proof of the Painlevé property for PII in standard form and in the Flaschka-Newell form. The Bäcklund transformations, the rational solutions and the Riccati solutions for PII...

Puiseux Expansion of a Cuspidal Singularity

Maciej Borodzik (2012)

Bulletin of the Polish Academy of Sciences. Mathematics

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We present an effective and elementary method of determining the topological type of a cuspidal plane curve singularity with given local parametrization.

Moduli of Germs of Legendrian Curves

António Araújo, Orlando Neto (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

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We construct the generic component of the moduli space of the germs of Legendrian curves with generic plane projection topologically equivalent to a curve y n = x m .

Simple framed curve singularities

Victor Goryunov, Gabor Lippner (2008)

Banach Center Publications

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We obtain a complete list of simple framed curve singularities in ℂ² and ℂ³ up to the framed equivalence. We also find all the adjacencies between simple framed curves.

Algorithms for the computation of moduli spaces for semiquasihomogeneous singularities.

Thomas Bayer (2003)

Revista Matemática Complutense

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We present algorithms and their implementation in the computer algebra system Singular 2.0 for the computation of equations for moduli spaces for semiquasihomogeneous singularities w.r.t. right equivalence. In addition, we describe the structure of the stabilizer group of Brieskorn-Pham singularities.