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math.AC2007★ 6 cited
A local version of Gotzmann's Persistence
Morgan Sherman
Gotzmann's Persistence states that the growth of an arbitrary ideal can be controlled by comparing it to the growth of the lexicographic ideal. This is used, for instance, in findi…
math.AC2005
On an extension of Galligo's theorem concerning the Borel-fixed points on the Hilbert scheme
Morgan Sherman
Given an ideal and a weight vector which partially orders monomials we can consider the initial ideal $\init_w (I)$ which has the same Hilbert function. A well known constr…