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math.CV2000
Segre varieties and Lie symmetries
Alexandre Sukhov
Using the classical S.Lie method we obtain a complete description of infinitesimal symmetries of a holomorphic PDE system defining the Segre family of a real analytic hypersurface.…
math.CV2000
Segre varieties, CR geometry and Lie symmetries of second order PDE systems
Alexandre Sukhov
We show that biholomorphic automorphisms of a real analytic CR manifold can be considered as (pointwise) Lie symmetries of a holomorphic second order PDE system defining its Segre…