Non-commutative crepant resolutions for (almost) simplicial toric algebras
Abstract
Given a rational convex polyhedral Gorenstein cone constructed as cone over a lattice polytope P, we establish that toric non-commutative crepant resolutions (NCCRs) of its associated toric algebra descend to toric NCCRs of the algebras associated to faces of the polytope P. As consequence, we present two new, short proofs to the existence of toric NCCRs for simplicial affine toric Gorenstein algebras and for almost simplicial affine toric Gorenstein algebras, i.e. those associated to cones $σ$ with $\dimσ+1$ extremal rays.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Algebraic structures and combinatorial models
Commutative Algebra and Its Applications
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 25 February 2026
- Language
- EN
- Document type
- Preprint