English

The Bogomolov's inequality on a singular complex space

Algebraic Geometry 2023-01-30 v3 Complex Variables

Abstract

In this note, we prove the Bogomolov's inequality over a reduced, compact, irreducible, K\"ahler complex space that is smooth in codimension 2. The proof is obtained by a reduction to the smooth case, using Hironaka's resolution of singularities.

Cite

@article{arxiv.2106.14650,
  title  = {The Bogomolov's inequality on a singular complex space},
  author = {Xiaojun Wu},
  journal= {arXiv preprint arXiv:2106.14650},
  year   = {2023}
}

Comments

15 pages

R2 v1 2026-06-24T03:40:08.920Z