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- Juan Migliore
- 1998

Part 1 Background: finitely generated graded S-modules the deficiency modules (Mi)(V) hyperplane and hypersurface sections Artinian reductions and h-vectors examples. Part 2 Submodules of the… (More)

Introduction Preliminaries Gaeta's theorem Divisors on an ACM subscheme of projective spaces Gorenstein ideals and Gorenstein liaison CI-liaison invariants Geometric applications of the CI-liaison… (More)

Let $\phi$ be a generically surjective morphism between direct sums of line bundles on $\proj{n}$ and assume that the degeneracy locus, $X$, of $\phi$ has the expected codimension. We call $B_{\phi}… (More)

Abstract Star configurations are certain unions of linear subspaces of projective space. They have appeared in several different contexts: the study of extremal Hilbert functions for fat point… (More)

- David Cook, Brian Harbourne, Juan Migliore, Uwe Nagel
- 2018

It is known, from work of Diesel, which graded Betti numbers are possible for Artinian Gorenstein height three ideals. In this paper we show that any such set of graded Betti numbers in fact occurs… (More)

- Juan Migliore, Uwe Nagel
- 2011

An artinian graded algebra, $A$, is said to have the Weak Lefschetz property (WLP) if multiplication by a general linear form has maximal rank in every degree. A vast quantity of work has been done… (More)

- Juan Migliore, Uwe Nagel
- 2001

An SI-sequence is a finite sequence of positive integers which is symmetric, unimodal and satisfies a certain growth condition. These are known to correspond precisely to the possible Hilbert… (More)

- Juan Migliore, Uwe Nagel
- 1999

We show how to lift any monomial ideal J in n variables to a saturated ideal I of the same codimension in n+t variables. We show that I has the same graded Betti numbers as J and we show how to… (More)

Ideals generated by prescribed powers of linear forms have attracted a great deal of attention recently. In this paper we study properties that hold when the linear forms are general, in a sense that… (More)