Search Results - "MIGLIORE, Juan C"

Monomial ideals, almost complete intersections and the Weak Lefschetz property by MIGLIORE, Juan C, MIRO-ROIG, Rosa M, NAGEL, Uwe

“…Many algebras are expected to have the Weak Lefschetz property, although this is often very difficult to establish. We illustrate the subtlety of the problem…”
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On the strong Lefschetz problem for uniform powers of general linear forms in k[x,y,z] by Juan C. Migliore, Rosa María Miró-Roig

“…weak Lefschetz property. Considering the more general of when \times L^j has maximal rank for j \geq 2, we give the first systematic study of this problem. We…”
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The Weak and Strong Lefschetz properties for Artinian K-algebras by Harima, Tadahito, Migliore, Juan C., Nagel, Uwe, Watanabe, Junzo

“…Let A=⊕ i⩾0 A i be a standard graded Artinian K-algebra, where char K=0. Then A has the Weak Lefschetz property if there is an element ℓ of degree 1 such that…”
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An Improved Multiplicity Conjecture for Codimension 3 Gorenstein Algebras by Migliore, Juan C., Nagel, Uwe, Zanello, Fabrizio

“…The Multiplicity Conjecture is a deep problem relating the multiplicity (or degree) of a Cohen-Macaulay standard graded algebra with certain extremal graded…”
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A construction of codimension three arithmetically Gorenstein subschemes of projective space by Migliore, Juan C., Peterson, Chris

“…This paper presents a construction method for a class of codimension three arithmetically Gorenstein subschemes of projective space. These schemes are obtained…”
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Buchsbaum–Rim Sheaves and Their Multiple Sections by Migliore, Juan C, Nagel, Uwe, Peterson, Chris

“…This paper begins by introducing and characterizing Buchsbaum–Rim sheaves on Z=ProjR, where R is a graded Gorenstein K-algebra. They are reflexive sheaves…”
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ON THE STRONG LEFSCHETZ PROBLEM FOR UNIFORM POWERS OF GENERAL LINEAR FORMS IN 𝑘[𝑥, 𝑦, 𝑧] by MIGLIORE, JUAN C., MIRÓ-ROIG, ROSA MARÍA

“…Schenck and Seceleanu proved that if 𝑅 = 𝑘[𝑥, 𝑦, 𝑧], where 𝑘 is an infinite field and 𝐼 is an ideal generated by any collection of powers of linear…”
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Reduced Gorenstein codimension three subschemes of projective space by Geramita, Anthony V., Migliore, Juan C.

“…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…”
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Some geometric results arising from the Borel fixed property by Ahn, Jeaman, Migliore, Juan C.

“…In this paper, we will give some geometric results using generic initial ideals for the degree reverse lex order. The main goal of the paper is to improve on…”
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The Structure of an Even Liaison Class by Bolondi, Giorgio, Migliore, Juan C.

“…We describe a structure called the Lazarsfeld-Rao property for even liaison classes in projective space. This property holds for many even liaison classes of…”
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The weak Lefschetz property for artinian Gorenstein algebras of small Sperner number by Boij, Mats, Migliore, Juan C, Miró-Roig, Rosa Maria, Nagel, Uwe

“…For artinian Gorenstein algebras in codimension four and higher, it is well known that the Weak Lefschetz Property (WLP) does not need to hold. For Gorenstein…”
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On the componentwise linearity and the minimal free resolution of a tetrahedral curve by Francisco, Christopher A., Migliore, Juan C., Nagel, Uwe

“…A tetrahedral curve is an unmixed, usually nonreduced, one-dimensional subscheme of projective 3-space whose homogeneous ideal is the intersection of powers of…”
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Families of reduced zero-dimensional schemes by Migliore, Juan

“…A great deal of recent activity has centered on the question of whether, for a given Hilbert function, there can fail to be a unique minimum set of graded…”
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Ideals of general forms and the ubiquity of the Weak Lefschetz property by Migliore, J., Miró-Roig, R.M.

“…Let d 1,…, d r be positive integers and let I=( F 1,…, F r ) be an ideal generated by forms of degrees d 1,…, d r , respectively, in a polynomial ring R with n…”
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Minimal resolution of relatively compressed level algebras by Migliore, Juan C., Miró-Roig, Rosa M., Nagel, Uwe

“…A relatively compressed algebra with given socle degrees is an Artinian quotient A of a given graded algebra R / c , whose Hilbert function is maximal among…”
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Green's theorem and Gorenstein sequences by Ahn, Jeaman, Migliore, Juan C, Shin, Yong-Su

“…We study consequences, for a standard graded algebra, of extremal behavior in Green's Hyperplane Restriction Theorem. First, we extend his Theorem 4 from the…”
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On the minimal free resolution of n+1 general forms by Migliore, J., Miró-Roig, R. M.

“…Let R = k[x_1,\dots,x_n] and let I be the ideal of n+1 generically chosen forms of degrees d_1 \leq \dots \leq d_{n+1}. We give the precise graded Betti…”
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Geometric Consequences of Extremal Behavior in a Theorem of Macaulay by Bigatti, Anna, Geramita, Anthony V., Migliore, Juan C.

“…F. S. Macaulay gave necessary and sufficient conditions on the growth of a nonnegative integer-valued function which determine when such a function can be the…”
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The Minimal Resolution Conjecture on a general quartic surface in $\mathbb P^3 by Boij, Mats, Migliore, Juan C, Miró-Roig, Rosa María, Nagel, Uwe

“…Musta\c{t}\u{a} has given a conjecture for the graded Betti numbers in the minimal free resolution of the ideal of a general set of points on an irreducible…”
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Determinantal schemes and Buchsbaum–Rim sheaves by Kreuzer, Martin, Migliore, Juan C., Peterson, Chris, Nagel, Uwe

“…Let φ be a generically surjective morphism between direct sums of line bundles on P n and assume that the degeneracy locus, X, of φ has the expected…”
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