Work

Orlov's functors in Macaulay2

Year: 2026

Type: preprint

Abstract: Given a commutative and graded Gorenstein ring $R$ with associated projective variety $X$, a theorem of Orlov gives fully faithful embeddings from the graded singularity category of $R$ to the derived category of $X$, or vice versa, depending on the degree of the canonical bundle of $X$. We describe algorithms for computing these embeddings that can be implemented in Macaulay2.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2603.23176

Authors: Brown, Michael K., Dey, Souvik, Fatin, Geoffrey, Li, Guanyu, Sayrafi, Mahrud, Tribone, Tim

Institution: Auburn University

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7140299202

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