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Classification of simple multigerms of curves in a space with symplectic structure
Author(s):
P.
A.
Kolgushkin
Translated by:
N. Yu. Netsvetaev
Original publication:
Algebra i Analiz,
tom 15
(2003),
vypusk 1.
Journal:
St. Petersburg Math. J.
15
(2004),
103-126.
MSC (2000):
Primary 57R45
Posted:
December 31, 2003
MathSciNet review:
1979720
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Abstract:
A classification of stably simple germs of curves (both reducible and irreducible) in the complex space equipped with a symplectic structure is obtained. This classification extends the result by V. I. Arnol'd of 1999, which described the  singularities in the symplectic complex space. The proofs involve the homotopy method and the Darboux-Givental theorem.
References:
-
- [1]
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Additional Information:
P.
A.
Kolgushkin
Affiliation:
Moscow State University, Mechanics and Mathematics Department, Moscow 119899, Russia
Email:
kolgush@mccme.ru
DOI:
10.1090/S1061-0022-03-00804-5
PII:
S 1061-0022(03)00804-5
Keywords:
Symplectomorphism,
stably simple singularity,
multigerm
Received by editor(s):
29/JAN/2002
Posted:
December 31, 2003
Additional Notes:
Partly supported by RFBR (grant no. 01-01-00739) and by NWD-RFBR (grant no. 047.008.005).
Copyright of article:
Copyright
2003,
American Mathematical Society
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