2000/10/30 by Sheldon Katz, Katz, Sheldon
Mathematics · Physics and Astronomy · #32G10 #81T60 #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th #math.AG #msc:32G10 #msc:81T60
paper · pdf · doi:10.48550/arxiv.math/0010289
11 pages, LaTeX
arxiv created 2000/10/30 · openalex publication_date 2000/10/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The versal deformation space of a smooth rational curve in a smooth complex threefold is explicitly computed under certain hypotheses. Under an additional hypothesis, the versal deformation space is then shown to be the variety of critical points of a holomorphic function, the superpotential, as predicted by the consideration of D-branes in string theory.