A lower bound for the codimension of the $\mu=\operatorname{const}$ stratum in terms of the mixed Hodge structure
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1982), pp. 28-31
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We show that the codimension of the strata $\mu=\operatorname{const}$ in the versal deformation base of a germ of a holomorphic function at a finitely degenerated critical point is, not less then the number of those spectral numbers for the mixed Hodge structure of the critical point of the germ which are less then $1+\beta$ where $\beta$ is the complex degree of singularity of the point.
@article{VMUMM_1982_6_a5,
author = {A. N. Varchenko},
title = {A lower bound for the codimension of the $\mu=\operatorname{const}$ stratum in terms of the mixed {Hodge} structure},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {28--31},
publisher = {mathdoc},
number = {6},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a5/}
}
TY - JOUR
AU - A. N. Varchenko
TI - A lower bound for the codimension of the $\mu=\operatorname{const}$ stratum in terms of the mixed Hodge structure
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 28
EP - 31
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PB - mathdoc
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LA - ru
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%D 1982
%P 28-31
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a5/
%G ru
%F VMUMM_1982_6_a5
A. N. Varchenko. A lower bound for the codimension of the $\mu=\operatorname{const}$ stratum in terms of the mixed Hodge structure. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1982), pp. 28-31. http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a5/