Cox-Gorenstein algebras
Commutative Algebra
2025-11-10 v4 Algebraic Geometry
Abstract
We study G-graded Artinian algebras having Poincar\'e 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
Cite
@article{arxiv.2407.17811,
title = {Cox-Gorenstein algebras},
author = {Ugo Bruzzo and Rodrigo Gondim and Rafael Holanda and William D. Montoya},
journal= {arXiv preprint arXiv:2407.17811},
year = {2025}
}
Comments
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