5 papers
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…
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…
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…
Toric Exoflops and Categorical Resolutions
Tyler L. Kelly, Aimeric Malter
An exoflop takes a gauged Landau-Ginzburg (LG) model, partially compactifies it, and then performs certain birational transformations on it. When certain criteria hold, this can pr…
A derived equivalence of the Libgober-Teitelbaum and the Batyrev-Borisov mirror constructions
Aimeric Malter
In this paper we study a particular mirror construction to the complete intersection of two cubics in , due to Libgober and Teitelbaum. Using variations of geometric…