Continuation of CR-Automorphisms of Levi Degenerate Hyperquadrics to the Projective Space

TL;DR

This paper proves that all CR-automorphisms of Levi degenerate hyperquadrics in projective space can be extended to the entire projective space as holomorphic automorphisms.

Contribution

It establishes a general extension result for CR-automorphisms of Levi degenerate hyperquadrics to the ambient projective space.

Findings

CR-automorphisms extend holomorphically to the projective space

Extension holds for Levi degenerate hyperquadrics

Results unify understanding of automorphisms in complex geometry

Abstract

We show that every CR-automorphism of the closure of a Levi degenerate hyperquadric in the projective space extends to a holomorphic automorphism of the projective space.