English

On Chow stability and balanced embeddings

Algebraic Geometry 2021-10-27 v1 Differential Geometry

Abstract

An important result of Zhang states that for a projective variety, the existence of a balanced embedding is equivalent to Chow stability. In this paper, we shall prove that Chow stability implies that a balanced embedding exists via the continuity method. Our proof is conditional on a technical hypothesis about restrictions of Hamiltonians to subschemes of projective space.

Keywords

Cite

@article{arxiv.2110.13631,
  title  = {On Chow stability and balanced embeddings},
  author = {Ho Leung Fong},
  journal= {arXiv preprint arXiv:2110.13631},
  year   = {2021}
}

Comments

7 pages, comments welcome

R2 v1 2026-06-24T07:11:49.413Z