44 citations · 142 across the 75 of their papers we have counts for
6 papers · 1 filter
Unimodal Gorenstein h-vectors without the Stanley-Iarrobino property
Juan Migliore, Fabrizio Zanello
The study of the -vectors of graded Gorenstein algebras is an important topic in combinatorial commutative algebra, which despite the large amount of literature produced during…
On the strong Lefschetz question for uniform powers of general linear forms in
Juan Migliore, Rosa María Miró-Roig
Schenck and Seceleanu proved that if , where is an infinite field, and is an ideal generated by any collection of powers of linear forms, then multiplication…
Green's theorem and Gorenstein sequences
Jeaman Ahn, Juan C. Migliore, Yong-Su Shin
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 case of a plane curve…
The non-Lefschetz locus
Mats Boij, Juan Migliore, Rosa M. Miró-Roig +1
We study the weak Lefschetz property of artinian Gorenstein algebras and in particular of artinian complete intersections. In codimension four and higher, it is an open problem whe…
Symbolic powers of codimension two Cohen-Macaulay ideals
Susan Cooper, Giuliana Fatabbi, Elena Guardo +6
Let be the saturated homogeneous ideal defining a codimension two arithmetically Cohen-Macaulay scheme , and let denote its -th symbo…
Line arrangements and configurations of points with an unusual geometric property
David Cook, Brian Harbourne, Juan Migliore +1
The SHGH conjecture proposes a solution to the question of how many conditions a general union of fat points imposes on the complete linear system of curves in of fix…