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arXiv · 2509.11664

Towards non-commutative crepant resolutions of affine toric Gorenstein varieties

Aimeric Malter·Artan Sheshmani
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Abstract

In this paper we prove a common generalisation of results by \v{S}penko-Van den Bergh and Iyama-Wemyss that can be used to generate non-commutative crepant resolutions (NCCRs) of some affine toric Gorenstein varieties. We use and generalise results by Novakovi\'{c} to study NCCRs for affine toric Gorenstein varieties associated to cones over polytopes with interior points. As a special case, we consider the case where the polytope is reflexive with $\le \dim P+2$ vertices, using results of Borisov and Hua to show the existence of NCCRs.

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Aimeric Malter, Artan Sheshmani. 2025-09-15. Towards non-commutative crepant resolutions of affine toric Gorenstein varieties. https://arxiv.org/abs/2509.11664

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