2019/11/16 by Kowshik Bettadapura, Bettadapura, Kowshik
Mathematics · Physics and Astronomy · #14H15 #14H55 #32C11 #58A50 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #hep-th #math-ph #math.AG #math.MP #msc:14H15 #msc:14H55 #msc:32C11 #msc:58A50
paper · pdf · doi:10.48550/arxiv.1911.07118
71 pages. Comments welcome!
arxiv created 2019/11/16 · openalex publication_date 2019/11/16 · arxiv updated 2019/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By analytic deformations of complex structures, we mean perturbations of the Dolbeault operator. By algebraic deformations of complex structures, we mean deformations of holomorphic glueing data. For complex manifolds there is, infinitesimally, a correspondence between these two types deformations. In this article we argue that an analogous correspondence holds between the analytic and algebraic deformations of a super Riemann surface.