A counterexample to the maximality of toric varieties
classification
🧮 math.AG
keywords
toricbetticounterexamplemaximalitynumbersvarietiesbihanconcerning
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We present a counterexample to the conjecture of Bihan, Franz, McCrory, and van Hamel concerning the maximality of toric varieties. There exists a six dimensional projective toric variety X with the sum of the mod 2 Betti numbers of X(R) strictly less than the sum of the mod 2 Betti numbers of X(C).
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