The Bogomolov's inequality on a singular complex space

2021/06/24 by Xiaojun Wu, Wu, Xiaojun · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2106.14650

openalex publication_date 2021/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we prove the Bogomolov's inequality over a reduced, compact, irreducible, Kähler 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.

Citations

• Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I

Cited by

• Orbifold Chern classes and Bogomolov-Gieseker inequalities
• Orbifold Bogomolov-Gieseker inequalities on compact Kähler varieties

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