Segre varieties and Lie symmetries
نویسندگان
چکیده
منابع مشابه
Segre varieties and Lie symmetries
We show that biholomorphic automorphisms of a real analytic hypersurface in I C can be considered as (pointwise) Lie symmetries of a holomorphic completely overdetermined involutive second order PDE system defining its Segre family. Using the classical S.Lie method we obtain a complete description of infinitesimal symmetries of such a system and give a new proof of some well known results of CR...
متن کاملSegre varieties , CR geometry and Lie symmetries of second order PDE systems
We establish a link between the CR geometry of real analytic submanifolds in I C and the geometric PDE theory. The main idea of our approach is to consider biholomorphisms of a Levi-nondegenerate real analytic Cauchy-Riemann manifold M as poinwise symmetries of a second order holomorphic PDE system defining the Segre family of M. This allows to employ the well-elaborated PDE tools in order to s...
متن کاملHoley Segre Varieties
Holey Segre varieties are introduced, which generalize classical Segre varieties and whose existence is suggested by the fact that any non-prime finite field contains proper subfields. More precisely, a holey Segre variety is the tensor product PG(n, q) ⊗ PG(m, qk ). An algebraic description of such an object is given and its structure is investigated. Furthermore, special choices of the parame...
متن کاملSchur Modules and Segre Varieties
This paper is an elementary introduction to the methods of Landsberg and Manivel, [3] for finding the ideals of secant varieties to Segre varieties. We cover only the most basic topics from [3], but hope that since this is a topic which is rarely made explicit, these notes will be of some use. We assume the reader is familiar with the basic operations of multilinear algebra: tensor, symmetric, ...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2001
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s002090100262