On the effective cone of ${\mathbb{P}}^n$ blown-up at $n+3$ points

Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel

We compute the facets of the effective and movable cones of divisors on the blow-up of ${\mathbb{P}}^n$ at $n+3$ points in general position. Given any linear system of hypersurfaces…