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math.AC2022
Idempotent completions of equivariant matrix factorization categories
Michael K. Brown, Mark E. Walker
We prove that equivariant matrix factorization categories associated to henselian local hypersurface rings are idempotent complete, generalizing a result of Dyckerhoff in the non-e…
math.AG2022★ 6 cited
A short resolution of the diagonal for smooth projective toric varieties of Picard rank 2
Michael K. Brown, Mahrud Sayrafi
Given a smooth projective toric variety of Picard rank 2, we resolve the diagonal sheaf on by a linear complex of length consisting of finite direct sums…
math.AC2022★ 1 cited
Linear strands of multigraded free resolutions
Michael K. Brown, Daniel Erman
We develop a notion of linear strands for multigraded free resolutions, and we prove a multigraded generalization of Green's Linear Syzygy Theorem.