2008/11/16 by Sean Timothy Paul, Paul, Sean Timothy
Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.0811.2544
Let X be a smooth, linearly normal n dimensional complex projective variety. Assume that the projective dual of X has codimension one with defining polynomial D(X). In this paper the log of the norm of D(X) is expressed as the restriction to the Bergman metrics of an energy functional on X. We show how, for smooth plane curves, this energy functional reduces to the standard action functionals of Kahler geometry.