44 citations · 142 across the 75 of their papers we have counts for
4 papers · 1 filter
Determinantal representation and subschemes of general plane curves
Luca Chiantini, Juan Migliore
Let be an square matrix of integers. For our purposes, we can assume without loss of generality that is homogeneous and that the entries are non-inc…
On the Weak Lefschetz Property for Powers of Linear Forms
Juan Migliore, Rosa M. Miró-Roig, Uwe Nagel
In a recent paper, Schenck and Seceleanu showed that in three variables, any ideal generated by powers of linear forms has the Weak Lefschetz Property (WLP). This result contrasts…
Groebner bases via linkage
Elisa Gorla, Juan C. Migliore, Uwe Nagel
In this paper, we give a sufficient condition for a set $\mathal G$ of polynomials to be a Gröbner basis with respect to a given term-order for the ideal that it generates. Our…
On the shape of a pure O-sequence
M. Boij, J. Migliore, R. Miro'-Roig +2
An order ideal is a finite poset X of (monic) monomials such that, whenever M is in X and N divides M, then N is in X. If all, say t, maximal monomials of X have the same degree, t…