English

Chern-Moser operators and weighted jet determination problems in higher codimension

Complex Variables 2022-01-17 v3

Abstract

Counterexamples to the 2-jet determination Chern-Moser Theorem in codimension d>2 have recently been constructed. We extend the Chern-Moser approach for hypersurfaces to real submanifolds of higher codimension in complex space to derive results on jet determination for their automorphism group. Using these techniques, we show that the 2-jet determination Chern-Moser Theorem holds in codimension 2.

Keywords

Cite

@article{arxiv.1712.00295,
  title  = {Chern-Moser operators and weighted jet determination problems in higher codimension},
  author = {Léa Blanc-Centi and Francine Meylan},
  journal= {arXiv preprint arXiv:1712.00295},
  year   = {2022}
}

Comments

15 pages

R2 v1 2026-06-22T23:03:38.588Z