Segre nondegenerate totally real subvarieties

23 Jan 2020  ·  Lamel Bernhard, Lebl Jiri ·

We study an irreducible real-analytic germ of an $n$-dimensional variety in $n$ dimensional complex space. Assuming that the variety is Segre nondegenerate we define an averaging operator that generalizes the Moser--Webster involution... This operator can be thought of as being the CR structure of the singularity, and using this operator we study the set of functions that are restrictions of holomorphic functions. We give a condition on the flattening of the singularity, that is realizing the singularity as a codimention one subvariety of a nonsingular Levi-flat hypersurface. read more

PDF Abstract
No code implementations yet. Submit your code now


Complex Variables Algebraic Geometry