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math.CO2008
Differential posets and Smith normal forms
Alexander Miller, Victor Reiner
We conjecture a strong property for the up and down maps U and D in an r-differential poset: DU+tI and UD+tI have Smith normal forms over Z[t]. In particular, this would determine…
math.CO2004★ 2 cited
Reciprocal domains and Cohen-Macaulay -complexes in
Ezra Miller, Victor Reiner
We extend a reciprocity theorem of Stanley about enumeration of integer points in polyhedral cones when one exchanges strict and weak inequalities. The proof highlights the roles p…