Abstract:
In this paper a connection between the invariants of a quadratic form on a bundle are described (Theorem 1). It is proved (Theorem 2) that a hypernet is uniquely determined by its invariant.
Bibliography: 7 titles.
\Bibitem{Tyu80}
\by A.~N.~Tyurin
\paper The geometry of singularities of a~generic quadratic form
\jour Math. USSR-Izv.
\yr 1981
\vol 17
\issue 2
\pages 413--422
\mathnet{http://mi.mathnet.ru/eng/im1959}
\crossref{https://doi.org/10.1070/IM1981v017n02ABEH001366}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=595264}
\zmath{https://zbmath.org/?q=an:0491.14007|0466.14006}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MW12400010}
Linking options:
https://www.mathnet.ru/eng/im1959
https://doi.org/10.1070/IM1981v017n02ABEH001366
https://www.mathnet.ru/eng/im/v44/i5/p1200
This publication is cited in the following 5 articles:
F. A. Bogomolov, A. L. Gorodentsev, V. A. Iskovskikh, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, V. Ya. Pidstrigach, A. S. Tikhomirov, N. A. Tyurin, I. R. Shafarevich, “Andrei Nikolaevich Tyurin (obituary)”, Russian Math. Surveys, 58:3 (2003), 597–605
Spyros Pnevmatikos, Dimitris Pliakis, “On the singularities of quadratic forms”, Journal of Geometry and Physics, 34:1 (2000), 73
A. N. Tyurin, “The structure of the variety of pairs of commuting pencils of symmetric matrices”, Math. USSR-Izv., 20:2 (1983), 391–410
A. N. Tyurin, “A local invariant of a Riemannian manifold”, Math. USSR-Izv., 19:1 (1982), 125–149
A. S. Tikhomirov, “The Fano surface of the Veronese double cone”, Math. USSR-Izv., 19:2 (1982), 377–443
Citation in format AMSBIB
Contact us: