2010/08/12 by Indranil Biswas, Tomas L. Gomez, Tomás L. Gómez +6
Mathematics · #14F05 #53B35 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #math.AG #math.DG #msc:14F05 #msc:53B35
paper · pdf · doi:10.48550/arxiv.1008.2034
To appear in Comptes rendus Mathematique
arxiv created 2010/08/12 · openalex publication_date 2010/08/12 · arxiv updated 2010/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let X be a smooth projective variety over \mathbb C. We prove that a twisted Higgs vector bundle (\calE ,θ) on X admits an Einstein--Hermitian connection if and only if (\calE ,θ) is polystable. A similar result for twisted vector bundles (no Higgs fields) was proved by S. Wang in \citeWa. Our approach is simpler.