Geodesic
Classification of simple multigerms of curves in a~space with symplectic structure
Algebra i analiz, Tome 15 (2003) no. 1, pp. 148-183.

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P. A. Kolgushkin. Classification of simple multigerms of curves in a~space with symplectic structure. Algebra i analiz, Tome 15 (2003) no. 1, pp. 148-183. http://geodesic.mathdoc.fr/item/AA_2003_15_1_a4/

[1] Arnold V. I., “Prostye osobennosti krivykh”, Tr. Mat. in-ta RAN, 226, 1999, 27–35 | MR

[2] Arnold V. I., “First steps of local symplectic algebra”, Differential Topology, Infinite-Dimensional Lie Algebras, and Applications, Amer. Math. Soc. Transl. Ser. 2, 194, Amer. Math. Soc., Providence, RI, 1999, 1–8 | MR | Zbl

[3] Arnold V. I., Givental A. B., “Simplekticheskaya geometriya”, Dinamicheskie sistemy – 4, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, 4, VINITI, M., 1985, 5–135 | MR

[4] Bruce J. W., Gaffney T. J., “Simple singularities of mappings $(\mathbb C,0)\to(\mathbb C^2,0)$”, J. London Math. Soc. (2), 26 (1982), 465–474 | DOI | MR | Zbl

[5] Dubrovin B. A., Novikov S. P., Fomenko A. T., Sovremennaya geometriya. Metody i prilozheniya. T. 1. Geometriya poverkhnostei, grupp preobrazovanii i polei, Editorial URSS, M., 2001 | MR

[6] Gibson C. G., Hobbs C. A., “Simple singularities of space curves”, Math. Proc. Cambridge Philos. Soc., 113:2 (1993), 297–310 | DOI | MR | Zbl

[7] Kolgushkin P. A., Sadykov R. R., “Klassifikatsiya prostykh multirostkov krivykh”, Uspekhi mat. nauk, 56:6(342) (2001), 153–154 | MR | Zbl

[8] Kolgushkin P. A., Sadykov R. R., “Simple singularities of multigerms of curves”, Rev. Mat. Complut., 14:2 (2001), 311–344 ; arxiv:org/abs/math.AG/0012040 | MR | Zbl

[9] Mather J. N., “Stability of $C^\infty$-mappings. IV. Classification of stable germs by $\mathbf R$-algebras”, Inst. Hautes Études Sci. Publ. Math., 37, 1969, 223–248 | MR | Zbl