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math.AC2016★ 2 cited
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…
math.AC2016
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…
math.AC2016
Harbourne, Schenck and Seceleanu's Conjecture
Rosa M. Miró-Roig
In [HSS], Conjecture 5.5.2, Harbourne, Schenck and Seceleanu conjectured that, for and all , the artinian ideal $I=(\ell _1^2,\dots ,l_{r+1}^2)\subset K[x_1, \dots ,x…