Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 6, Pages 28–31 (Mi vmumm3584)  

This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

A lower bound for the codimension of the $\mu=\operatorname{const}$ stratum in terms of the mixed Hodge structure

A. N. Varchenko
Full-text PDF (655 kB) Citations (2)
Abstract: 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.
Received: 15.01.1982
Bibliographic databases:
Document Type: Article
UDC: 513.83
Language: Russian
Citation: A. N. Varchenko, “A lower bound for the codimension of the $\mu=\operatorname{const}$ stratum in terms of the mixed Hodge structure”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 6, 28–31
Citation in format AMSBIB
\Bibitem{Var82}
\by A.~N.~Varchenko
\paper A lower bound for the codimension of the $\mu=\operatorname{const}$ stratum in terms of the mixed Hodge structure
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1982
\issue 6
\pages 28--31
\mathnet{http://mi.mathnet.ru/vmumm3584}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=0685259}
\zmath{https://zbmath.org/?q=an:0511.32004}
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