58 citations · 133 across the 18 of their papers we have counts for
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math.AG2016★ 8 cited
Finite determinacy of matrices over local rings.II. Tangent modules to the miniversal deformations for group-actions involving the ring automorphisms
Genrich Belitskii, Dmitry Kerner
We consider matrices with entries in a local ring, Mat(m,n;R). Fix an action of group G on Mat(m,n;R), and a subset of allowed deformations, Σin Mat(m,n;R). The standard question (…
math.AG2015
Finite determinacy of matrices over local rings. Tangent modules to the miniversal deformation for R-linear group actions
Genrich Belitskii, Dmitry Kerner
We consider matrices with entries in a local ring, Mat(m,n,R). Fix a group action, G on Mat(m,n,R), and a subset of allowed deformations, Σ\subseteq Mat(m,n,R). The standard questi…
math.AG2012★ 7 cited
Group actions on filtered modules and finite determinacy. Finding large submodules in the orbit by linearization
Genrich Belitskii, Dmitry Kerner
Fix a module M over a local ring R and a group action G on M, not necessarily R-linear. To understand how large is the G-orbit of an element z\in M one looks for the large submodul…