The Penrose Transform for Complex Projective Space

2008/08/17 by Michael Eastwood, Eastwood, Michael
Mathematics · #32L25 #53C28 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematics and Applications #math.CV #math.DG #msc:32L25 #msc:53C28

paper · pdf · doi:10.48550/arxiv.0808.2321

11 pages

arxiv created 2008/08/17 · openalex publication_date 2008/08/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Various complexes of differential operators are constructed on complex projective space via the Penrose transform, which also computes their cohomology.

Related

• The Penrose transform for compactly supported cohomology
• The generalized Penrose-Ward transform
• The Penrose Transform in the Split Signature
• The Penrose transform in quaternionic geometry
• The inverse Penrose transform on Riemannian twistor spaces