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Varieties of polynomials having a root of fixed comultiplicity, and the generalized Newton equation. (English. Russian original) Zbl 0508.58020

Funct. Anal. Appl. 16, 10-14 (1982); translation from Funkts. Anal. Prilozh. 16, No. 1, 13-18 (1982).

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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References:

[1] V. I. Arnold, ”Wave front evolution and equivariant Morse lemma,” Commun. Pure Appl. Math.,29, No. 6, 557–582 (1976). · Zbl 0343.58003 · doi:10.1002/cpa.3160290603
[2] V. M. Zakalyukin, ”Reconstructions of wave fronts, depending on one parameter,” Funkts. Anal.,10, No. 2, 69–70 (1976). · Zbl 0345.58008
[3] A. B. Givental’, ”Displacement of invariants of groups that are generated by reflections and are connected with simple singularities of functions,” Funkts. Anal.,14, No. 2, 4–14 (1980).
[4] K. Saito, ”On a linear structure of a quotient variety by a finite reflection group,” Preprint, Kyoto Univ., Japan, Kyoto (1979).
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