Moduli of plane curve singularities with C*-action
O. A. Laudal, B. Martin, G. Pfister (1988)
Banach Center Publications
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Displaying similar documents to “The embedding dimension of the formal Moduli space of certain curve singularities.”
Moduli of plane curve singularities with C*-action
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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...
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