Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1988, Volume 33, Pages 193–214 (Mi intd110)  
Singularities of the boundary of a domain of hyperbolicity

A. D. Vainshtein, B. Z. Shapiro
Full-text PDF (1313 kB)
Abstract: The singularities of hyperbolic polynomials (hypersurfaces) and the singularities of the boundary of the hyperbolicity region are investigated. Theorems on stabilization of these singularities in families with a fixed number of parameters and on their relationship with elliptic singularities are proved. The problems considered in this study are part of a research program focusing on singularities of boundaries of spaces of differential equations, proposed by V. I. Arnol'd.
English version:
Journal of Soviet Mathematics, 1990, Volume 52, Issue 4, Pages 3326–3337
DOI: https://doi.org/10.1007/BF01095253
Bibliographic databases:
UDC: 512.761
Language: Russian
Citation: A. D. Vainshtein, B. Z. Shapiro, “Singularities of the boundary of a domain of hyperbolicity”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 33, VINITI, Moscow, 1988, 193–214; J. Soviet Math., 52:4 (1990), 3326–3337
Citation in format AMSBIB
\Bibitem{VaiSha88}
\by A.~D.~Vainshtein, B.~Z.~Shapiro
\paper Singularities of the boundary of a~domain of hyperbolicity
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1988
\vol 33
\pages 193--214
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd110}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=967768}
\zmath{https://zbmath.org/?q=an:0900.58007|0732.58007}
\transl
\jour J. Soviet Math.
\yr 1990
\vol 52
\issue 4
\pages 3326--3337
\crossref{https://doi.org/10.1007/BF01095253}
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