Cox-Gorenstein algebras

Abstract

We study G-graded Artinian algebras having Poincaré duality, considering in particular their Lefschetz properties. We also prove a correspondence between the toric setup and the G-graded one, provide an application to toric geometry, and prove a Hessian criterion in the G-graded setup

21 pages. v2: we added some references to the previous literature. v3: same as v2, we disposed of some spurious files. v4: 25 Pages, exposition reorganized