Generic anisotropy for reduced Gorenstein standard graded algebras

Consider a reduced Gorenstein standard graded algebra with Krull dimension at least its socle dimension, and consider a generic Artinian reduction after passing to an appropriate field extension. Generic anisotropy conjecture. The generic Artinian reduction is anisotropic. This is stated as the most pessimistic version because the authors report disagreement about which level of generality is plausible. Its status is unclear from the supplied text and is therefore recorded as open.