2 citations · 4 across the 4 of their papers we have counts for
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The projective dimension of codimension two algebra presented by quadrics
Craig Huneke, Paolo Mantero, Jason McCullough +1
We prove a sharp upper bound for the projective dimension of ideals of height two generated by quadrics in a polynomial ring with arbitrary large number of variables.
Multiple Structures with Arbitrarily Large Projective Dimension on Linear Subspaces
Craig Huneke, Paolo Mantero, Jason McCullough +1
Let be an algebraically closed field. There has been much interest in characterizing multiple structures in defined on a linear subspace of small codimension under addi…
Syzygy Theorems via Comparison of Order Ideals on a Hypersurface
Phillip A. Griffith, Alexandra Seceleanu
We introduce a weak order ideal property that suffices for establishing the Evans-Griffith Syzygy Theorem. We study this weak order ideal property in settings that allow for compar…
Ideals with Larger Projective Dimension and Regularity
Jesse Beder, Jason McCullough, Luis Nunez-Betancourt +3
We define a family of homogeneous ideals with large projective dimension and regularity relative to the number of generators and their common degree. This family subsumes and impro…