2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157273A complex algebraic variety defined over the reals is maximal when the sum of its Betti numbers for Borel Moore homology with $\zz$ coefficients coincides with the sum of the Betti numbers of its real part. We will show in this paper that toric varieties of dimension 4 are maximal.12 pagesAlgebraic GeometryCombinatoricstext