A combinatorial formula is proven for the mixed volume of semi-interlaced polytopes, including those arising in algebraic degree computations via Kouchnirenko-Bernshtein theory.
Arnold, Arnold’s problems, Springer-Verlag, Berlin; PHASIS, Moscow (2004)
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Semi-interlaced polytopes
A combinatorial formula is proven for the mixed volume of semi-interlaced polytopes, including those arising in algebraic degree computations via Kouchnirenko-Bernshtein theory.