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Most $(0,1)$-polytopes are not normal

Morales, Santiago
arXiv (All) · Papers
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52b20algebraic-geometrycombinatoricscommutative-algebra
We prove that the proportion of $0/1$-equivalence classes of $d$-dimensional $(0,1)$-polytopes that are normal tends to zero at least at a double exponential rate as $d\to\infty$. As a consequence, the same holds for any of the following classes given by the type of triangulation possible: (a) quadr
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