Group actions on filtered modules and finite determinacy. Finding large submodules in the orbit by linearization

zbMath1359.58020arXiv1212.6894MaRDI QIDQ2956334

Dmitry Kerner, Genrich Belitskii

Publication date: 16 January 2017

Full work available at URL: https://arxiv.org/abs/1212.6894

zbMATH Keywords

group actionsfinite determinacyopen orbitsmodules over local ringssufficiency of jetsmatrix familiesmatrix sigularities

Mathematics Subject Classification ID

Normal forms on manifolds (58K50) Canonical forms, reductions, classification (15A21) Deformations of singularities (14B07) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19) Classification; finite determinacy of map germs (58K40)

Related Items (3)

Finite determinacy of matrices over local rings. tangent modules to the miniversal deformation for \(R\)-linear group actions ⋮ Pairs of Lie-type and large orbits of group actions on filtered modules: a characteristic-free approach to finite determinacy ⋮ Approximation results of Artin-Tougeron-type for general filtrations and for \(C^r\)-equations

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