St. Petersburg Mathematical Journal

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ISSN 1547-7371(e) ISSN 1061-0022(p)

Classification of simple multigerms of curves in the contact space

Author(s): P. A. Kolgushkin
Translated by: N. Yu. Netsvetaev
Original publication: Algebra i Analiz, tom 18 (2006), nomer 2.
Journal: St. Petersburg Math. J. 18 (2007), 241-267.
MSC (2000): Primary 58K40
Posted: March 19, 2007
MathSciNet review: 2244937
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

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 -equivalent to the singularity (a semicubical parabola). The proofs involve the homotopy method and the Darboux-Givental theorem on contact structures.

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