2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119478We 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).3 pagesAlgebraic Geometry14M25 (Primary) 05B35 (Secondary)text