11 citations · 11 across the 2 of their papers we have counts for
4 papers
Tor as a Module over an Exterior Algebra
David Eisenbud, Irena Peeva, Frank-Olaf Schreyer
Let be a regular local ring with residue field and let be a finitely generated -module. Suppose that is a regular sequence that annihilates …
Matrix Factorizations for Complete Intersections and Minimal Free Resolutions
David Eisenbud, Irena Peeva
Matrix factorizations of a hypersurface yield a description of the asymptotic structure of minimal free resolutions over the hypersurface. We introduce a new concept of matrix fact…
Subspace arrangements defined by products of linear forms
Anders Björner, Irena Peeva, Jessica Sidman
We consider the vanishing ideal of an arrangement of linear subspaces in a vector space and investigate when this ideal can be generated by products of linear forms. We introduce a…
Monomial Resolutions
Dave Bayer, Irena Peeva, Bernd Sturmfels
Call a monomial ideal M "generic" if no variable appears with the same nonzero exponent in two distinct monomial generators. Using a convex polytope first studied by Scarf, we obta…