4 citations · 7 across the 7 of their papers we have counts for
7 papers
Orlov's functors in Macaulay2
Michael K. Brown, Souvik Dey, Geoffrey Fatin +3
Given a commutative and graded Gorenstein ring with associated projective variety , a theorem of Orlov gives fully faithful embeddings from the graded singularity category o…
Scarf complexes of connected and path ideals
Trung Chau, Richie Sheng, Tim Tribone +1
The -connected ideal of a graph is generated by all connected induced subgraphs of with vertices. When , this coincides with the usual edge ideal of the graph…
Unstable elements in cohomology and a question of Lescot
Srikanth B. Iyengar, Sarasij Maitra, Tim Tribone
In his work on the Bass series of syzygy modules of modules over a commutative noetherian local ring , Lescot introduces a numerical invariant, denoted , and asks whether…
A family of simplicial resolutions which are DG-algebras
James Cameron, Trung Chau, Sarasij Maitra +1
Each monomial ideal over a polynomial ring admits a free resolution which has the structure of a DG-algebra, namely, the Taylor resolution. A pivot resolution of a monomial ideal,…
Tensor products of -fold matrix factorizations
Richie Sheng, Tim Tribone
Consider a pair of elements and in a commutative ring . Given a matrix factorization of and another of , the tensor product of matrix factorizations, which was fi…
Branched covers and matrix factorizations
Graham J. Leuschke, Tim Tribone
Let be a regular local ring and a non-zero element of . A theorem due to Knörrer states that there are finitely many isomorphism classes of max…
Matrix factorizations with more than two factors
Tim Tribone
Given an element in a regular local ring, we study matrix factorizations of with factors, that is, we study tuples of square matrices such t…