Title: The multidimensional truncated Moment Problem: Atoms, Determinacy, and Core Variety,
Abstract: This paper is about the moment problem on a finite-dimensional vector space
of continuous functions. We investigate the structure of the convex cone of
moment functionals (supporting hyperplanes, exposed faces, inner points) and
treat various important special topics on moment functionals (determinacy, set
of atoms of representing measures, core variety).