Log Fano blowups of mixed products of projective spaces and their effective cones

Tim Grange, Elisa Postinghel, Artie Prendergast-Smith

We compute the cones of effective divisors on blowups of ${\mathbb{P}}^1\times {\mathbb{P}}^2$ and ${\mathbb{P}}^1\times {\mathbb{P}}^3$ in up to 6 points. We also show that all these va…