13 citations · 34 across the 17 of their papers we have counts for
5 papers · 2 filters
On the first infinitesimal neighborhood of a linear configuration of points in
A. V. Geramita, J. Migliore, L. Sabourin
We consider the following open questions. Fix a Hilbert function, , that occurs for a reduced zero-dimensional subscheme of . Among all subschemes, , with Hilber…
The Multiplicity Conjecture in low codimensions
Juan C. Migliore, Uwe Nagel, Tim Römer
We establish the multiplicity conjecture of Herzog, Huneke, and Srinivasan about the multiplicity of graded Cohen-Macaulay algebras over a field, for codimension two algebras and f…
Some Geometric Results arising from the Borel Fixed Property
Jeaman Ahn, Juan C. Migliore
In this paper, we will give some geometric results using generic initial ideals for the degree reverse lex order. The first application is to the regularity of a Cohen-Macaulay alg…
Tetrahedral Curves
Juan C. Migliore, Uwe Nagel
A tetrahedral curve is a space curve whose defining ideal is an intersection of powers of monomial prime ideals of height two. It is supported on a tetrahedral configuration of lin…
Minimal Resolution of Relatively Compressed Level Algebras
Juan C. Migliore, Rosa Miró-Roig, Uwe Nagel
A relatively compressed algebra with given socle degrees is an Artinian quotient of a given graded algebra $R/\fc$, whose Hilbert function is maximal among such quotients with…