Classification of simple multigerms of curves in the contact space
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P. A. Kolgushkin
Translated by: N. Yu. Netsvetaev - St. Petersburg Math. J. 18 (2007), 241-267
- DOI: https://doi.org/10.1090/S1061-0022-07-00950-8
- Published electronically: March 19, 2007
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Abstract:
Stably simple singularities of curves (both reducible and irreducible) in the contact complex space are classified up to formal stable contact equivalence.The classification widens the one obtained by V. I. Arnold in 1999 for the simple contact space singularities that are $RL$-equivalent to the singularity $A_2$ (a semicubical parabola). The proofs involve the homotopy method and the Darboux–Givental theorem on contact structures.References
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Bibliographic Information
- P. A. Kolgushkin
- Affiliation: Mechanics and Mathematics Department, Moscow State University, Moscow 119899, Russia
- Email: kolgush@mccme.ru
- Received by editor(s): March 10, 2005
- Published electronically: March 19, 2007
- Additional Notes: Partially supported by RFBR (grant no. 01-04-00762) and by grant NSh-1972.2003.1
- © Copyright 2007 American Mathematical Society
- Journal: St. Petersburg Math. J. 18 (2007), 241-267
- MSC (2000): Primary 58K40
- DOI: https://doi.org/10.1090/S1061-0022-07-00950-8
- MathSciNet review: 2244937