44 citations · 142 across the 75 of their papers we have counts for
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Buchsbaum-Rim sheaves and their multiple sections
J. C. Migliore, U. Nagel, C. Peterson
This paper begins by introducing and characterizing Buchsbaum-Rim sheaves on $Z = \Proj R$ where is a graded Gorenstein K-algebra. They are reflexive sheaves arising as the she…
Determinantal schemes and Buchsbaum-Rim sheaves
M. Kreuzer, J. C. Migliore, U. Nagel +1
Let be a generically surjective morphism between direct sums of line bundles on $\proj{n}$ and assume that the degeneracy locus, , of has the expected codimension. We ca…
Degrees of generators of ideals defining subschemes of projective space
Heath M. Martin, Juan C. Migliore
For an arithmetically Cohen--Macaulay subscheme of projective space, there is a well-known bound for the highest degree of a minimal generator for the defining ideal of the subsche…
Submodules of the deficiency modules and an extension of Dubreil's Theorem
Heath Martin, Juan Migliore
In its most basic form, Dubreil's Theorem states that for an ideal defining a codimension , arithmetically Cohen--Macaulay subscheme of projective -space, the number of g…