Geodesic
Symplectic classification of parametric complex plane curves
Goo Ishikawa1 ; Stanisław Janeczko2
1 Department of Mathematics Hokkaido University Sapporo 060-0810, Japan
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland and Faculty of Mathematics and Information Science Warsaw University of Technology Pl. Politechniki 1 00-661 Warszawa, Poland
Annales Polonici Mathematici, Tome 99 (2010) no. 3, pp. 263-284

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Based on the discovery that the $\delta $-invariant is the symplectic codimension of a parametric plane curve singularity, we classify the simple and uni-modal singularities of parametric plane curves under symplectic equivalence. A new symplectic deformation theory of curve singularities is established, and the corresponding cyclic symplectic moduli spaces are reconstructed as canonical ambient spaces for the diffeomorphism moduli spaces which are no longer Hausdorff spaces.
DOI : 10.4064/ap99-3-4
Keywords: based discovery delta invariant symplectic codimension parametric plane curve singularity classify simple uni modal singularities parametric plane curves under symplectic equivalence symplectic deformation theory curve singularities established corresponding cyclic symplectic moduli spaces reconstructed canonical ambient spaces diffeomorphism moduli spaces which longer hausdorff spaces

Goo Ishikawa 1 ; Stanisław Janeczko 2

1 Department of Mathematics Hokkaido University Sapporo 060-0810, Japan
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland and Faculty of Mathematics and Information Science Warsaw University of Technology Pl. Politechniki 1 00-661 Warszawa, Poland 
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Goo Ishikawa; Stanisław Janeczko. Symplectic classification of parametric complex plane curves. Annales Polonici Mathematici, Tome 99 (2010) no. 3, pp. 263-284. doi: 10.4064/ap99-3-4

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