2016/05/31 by Daniele Angella, Adriano Tomassini, Misha Verbitsky · 3 citations
Mathematics · #Betti number #Chern class #Cohomology #Complex geometry #Complex manifold #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Manifold (fluid mechanics) #Metric (unit) #Upper and lower bounds #math.CV #math.DG #msc:32C35 #msc:32Q55 #msc:53C55
paper · pdf · doi:10.1515/advgeom-2018-0026
published in Advances in Geometry 19(1), 65-69 (De Gruyter)
openalex created_date 2016/06/24 · arxiv created 2017/10/29 · openalex publication_date 2018/10/25 · arxiv updated 2019/12/23 · openalex updated_date 2026/08/05
Abstract We study cohomological properties of complex manifolds. In particular, under suitable metric conditions, we extend to higher dimensions a result by A. Teleman, which provides an upper bound for the Bott– Chern cohomology in terms of Betti numbers for compact complex surfaces according to the dichotomy b 1 even or odd.