A small closed convex projective 4-manifold via Dehn filling

In order to obtain a closed orientable convex projective four-manifold with small positive Euler characteristic, we build an explicit example of convex projective Dehn filling of a cusped hyperbolic four-manifold through a continuous path of projective cone-manifolds.
Comment: 29 pages, 8 figures. To appear in Publicacions Matem\`atiques