The Geometry of Branched Complex Projective Structures on Surfaces
Ruffoni, Lorenzo <1989>
Subject
MAT/03 Geometria
Description
We study the geometry of deformations of structures locally modelled on the Riemann sphere, up to branched covers, focusing on structures with quasi-Fuchsian holonomy and on structures which admit holomorphically trivial deformations. Applications to Riemann-Hilbert problems are discussed.
Ruffoni, Lorenzo (2017) The Geometry of Branched Complex Projective Structures on Surfaces, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Matematica , 29 Ciclo. DOI 10.6092/unibo/amsdottorato/7860.