44 citations · 142 across the 75 of their papers we have counts for
4 papers · 1 filter
Glicci ideals
Juan Migliore, Uwe Nagel
A central problem in liaison theory is to decide whether every arithmetically Cohen-Macaulay subscheme of projective -space can be linked by a finite number of arithmetically Go…
Pure O-sequences: known results, applications, and open problems
Juan Migliore, Uwe Nagel, Fabrizio Zanello
This note presents a discussion of the algebraic and combinatorial aspects of the theory of pure O-sequences. Various instances where pure O-sequences appear are described. Several…
Star configurations in
A. V. Geramita, B. Harbourne, J. Migliore
Star configurations are certain unions of linear subspaces of projective space. They have appeared in several different contexts: the study of extremal Hilbert functions for fat po…
Numerical Macaulification
Juan Migliore, Uwe Nagel
An unpublished example due to Joe Harris from 1983 (or earlier) gave two smooth space curves with the same Hilbert function, but one of the curves was arithmetically Cohen-Macaulay…