14 citations · 28 across the 8 of their papers we have counts for
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math.AG2011
Matrix factorizations over projective schemes
Jesse Burke, Mark E. Walker
We study matrix factorizations of locally free coherent sheaves on a scheme. For a scheme that is projective over an affine scheme, we show that homomorphisms in the homotopy categ…
math.AC2011★ 14 cited
The cone of Betti diagrams over a hypersurface ring of low embedding dimension
Christine Berkesch, Jesse Burke, Daniel Erman +1
We give a complete description of the cone of Betti diagrams over a standard graded hypersurface ring of the form k[x,y]/<q>, where q is a homogeneous quadric. We also provide a fi…
math.AC2011
Finite injective dimension over rings with Noetherian cohomology
Jesse Burke
We study rings which have Noetherian cohomology under the action of a ring of cohomology operators. The main result is a criterion for a complex of modules over such a ring to have…