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math.AC2012
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…
math.AC2012★ 3 cited
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An unpublished example due to Joe Harris from 1983 (or earlier) gave two smooth space curves with the same Hilbert function, but one of the curves was arithmetically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…