44 citations · 142 across the 75 of their papers we have counts for
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Multiprojective spaces and the arithmetically Cohen-Macaulay property
Giuseppe Favacchio, Juan Migliore
In this paper we study the arithmetically Cohen-Macaulay (ACM) property for sets of points in multiprojective spaces. Most of what is known is for a…
The Minimal Resolution Conjecture on a general quartic surface in
Mats Boij, Juan C. Migliore, Rosa María Miró-Roig +1
Mustaţă 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 projective algebraic variety. F…
The Weak Lefschetz property for quotients by Quadratic Monomials
Juan Migliore, Uwe Nagel, Hal Schenck
In [MMR], Michałek--Miró-Roig give a beautiful geometric characterization of Artinian quotients by ideals generated by quadratic or cubic monomials, such that the multiplication ma…
The Lefschetz question for ideals generated by powers of linear forms in few variables
Juan Migliore, Uwe Nagel
The Lefschetz question asks if multiplication by a power of a general linear form, , on a graded algebra has maximal rank (in every degree). We consider a quotient by an ideal t…
On the arithmetically Cohen-Macaulay property for sets of points in multiprojective spaces
Giuseppe Favacchio, Elena Guardo, Juan Migliore
Published version: We study the arithmetically Cohen-Macaulay (ACM) property for finite sets of points in multiprojective spaces, especially . A combinatorial char…