Effective cones of cycles on products of projective bundles over curves

Abstract

Let $X=\mathbb{P}(E_1){\times }_C\mathbb{P}(E_2)$ where $C$ is a smooth curve and $E_1$, $E_2$ are vector bundles over $C$.In this paper we compute the pseudo effective cones of higher codimension cycles on $X$.

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