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math.AG1999
Combinatorics of the toric Hilbert scheme
Diane Maclagan, Rekha R. Thomas
The toric Hilbert scheme is a parameter space for all ideals with the same multi-graded Hilbert function as a given toric ideal. Unlike the classical Hilbert scheme, it is unknown…
math.AC1999
Antichains of Monomial Ideals are Finite
Diane Maclagan
The main result of this paper is that all antichains are finite in the poset of monomial ideals in a polynomial ring, ordered by inclusion. We present several corollaries of this r…