3 papers
math.AG2026
Conic modules, secondary fans and non-commutative resolutions
Aimeric Malter
Faber, Muller and Smith used complete sums of conic modules to construct non-commutative crepant resolutions (NCCR) of simplicial toric algebras. We link these conic modules to the…
math.AG2026
Non-commutative crepant resolutions for (almost) simplicial toric algebras
Aimeric Malter, Artan Sheshmani
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 associa…
math.AG2025
Towards non-commutative crepant resolutions of affine toric Gorenstein varieties
Aimeric Malter, Artan Sheshmani
In this paper we prove a common generalisation of results by Špenko-Van den Bergh and Iyama-Wemyss that can be used to generate non-commutative crepant resolutions (NCCRs) of some…