A combinatorial formula is proven for the mixed volume of semi-interlaced polytopes, including those arising in algebraic degree computations via Kouchnirenko-Bernshtein theory.
Selyanin, Arnold's monotonicity problem, 2024, arXiv:2006.11795v3 https://arxiv.org/abs/2006.11795v3
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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.