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math.CO2026
Most -polytopes are not normal
Santiago Morales
We prove that the proportion of -equivalence classes of -dimensional -polytopes that are normal tends to zero at least at a double exponential rate as .…
math.CO2026
There are matroid toric ideals without quadratic Gröbner bases
Jesús A. De Loera, Luis Ferroni, Santiago Morales +1
Our paper shows that if a matroid contains the Fano plane or its dual as a minor, then its toric ideal does not have any quadratic Gröbner basis. More than 25 years ago, Hibi, Herz…