Hodge theory for twisted differentials

2014/07/15 by Daniele Angella, Hisashi Kasuya · 9 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Characterization (materials science) #Class (philosophy) #Cohomology #Epistemology #Geometry and complex manifolds #Hodge theory #Mathematics #Optics #Philosophy #Physics #Pure mathematics #math.CV #math.DG #msc:32C35 #msc:53C30 #msc:53C56 #msc:58A14

paper · pdf · doi:10.2478/coma-2014-0005

published in Complex Manifolds 1(1) (De Gruyter Open)

arxiv created 2014/07/15 · openalex publication_date 2014/11/29 · arxiv updated 2015/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class C of Fujiki. We give a Hodgetheoretical proof of the characterization of solvmanifolds in class C of Fujiki, first stated by D. Arapura.

Citations

• Complex Manifolds and Deformation of Complex Structures
• Hodge Theory and Complex Algebraic Geometry II
• Autour de la cohomologie de Bott-Chern
• Kähler Solvmanifolds
• ON A GENERALIZATION OF THE NOTION OF MANIFOLD
• Real homotopy theory of K�hler manifolds
• Flat bundles and Hyper-Hodge decomposition on solvmanifolds