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math.CO2005
Rigidity and the Lower Bound Theorem for Doubly Cohen-Macaulay Complexes
Eran Nevo
We prove that for , the 1-skeleton of any -dimensional doubly Cohen Macaulay (abbreviated 2-CM) complex is generically -rigid. This implies the following two cor…
math.CO2005
A Generalized Macaulay Theorem and Generalized Face Rings
Eran Nevo
We prove that the -vector of members in a certain class of meet semi-lattices satisfies Macaulay inequalities. We construct a large family of meet semi-lattices belonging to thi…