English

On compact K\"ahler orbifold

Algebraic Geometry 2023-02-24 v1 Complex Variables

Abstract

In this paper, we study compact complex orbifolds. In the first part, we shows the equivalence of two notions of compact K\"ahler orbifold. In the second part, we shows various versions of Demailly's regularisation theorems for compact orbifold and study the positivity of orbifold vector bundle. In the last section, we give a version of equivariant GAGA communicated to us by Brion.

Keywords

Cite

@article{arxiv.2302.11914,
  title  = {On compact K\"ahler orbifold},
  author = {Xiaojun Wu},
  journal= {arXiv preprint arXiv:2302.11914},
  year   = {2023}
}

Comments

30 pages

R2 v1 2026-06-28T08:47:44.286Z