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Lattices in the sense of discrete subgroups of Euclidean spaces, as used in number theory, discrete geometry, Lie groups, etc. (Not to be confused with lattice theory or lattices as used in physics! For lattices (ordered sets), use the tag: [lattice-theory])
2
votes
Is the product of two supermodular functions supermodular?
The answer is no, not in general.
I am going to assume $f$ and $g$ are supermodular, real polynomials. I'll discuss what needs to happen for their product to be supermodular and then construct a coun …