Symplectic classification of parametric complex plane curves

• Autorzy: Goo Ishikawa , Stanisław Janeczko
• Języki publikacji: EN

Abstrakty

EN

Based on the discovery that the δ-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.

Kategorie tematyczne

• 58D27: Moduli problems for differential geometric structures
• 58K50: Normal forms
• 14H20: Singularities, local rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 99
• Numer: 3
• Strony: 263-284

Daty

wydano

2010

Twórcy

autor

Goo Ishikawa

• Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan

autor

Stanisław Janeczko

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
• Faculty of Mathematics and Information Science, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland

Identyfikatory

DOI

10.4064/ap99-3-4