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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2004 Volume 38, Issue 4, Pages 13–21 (Mi faa123)
This article is cited in 6 papers

On Stability of Projections of Lagrangian Varieties

V. V. Goryunova, V. M. Zakalyukinb

a University of Liverpool
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We show that Lagrangian and Legendre varieties associated with matrix singularities and singularities of composite functions are stable in the sense of a natural modification of Givental's notion of stability of Lagrangian projections.

Keywords: Lagrangian variety, stability, matrix singularities, ramified covering, discriminant.

UDC: 517.988

Received: 24.05.2004

DOI: 10.4213/faa123


 English version: Functional Analysis and Its Applications, 2004, 38:4, 249–255

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© Steklov Math. Inst. of RAS, 2024