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For a Calabi-Yau manifold $X$, the Kawamata - Morrison movable coneconjecture connects the convex geometry of the movable cone$\overline{\mathrm{Mov}}(X)$ to the birational automorphism group. Using thetheory of Coxeter groups, Cantat and Oguiso proved that the conjecture is truefor general varieties of Wehler type, and they described explicitly$\mathrm{Bir}(X)$. We generalize their argument to prove the conjecture anddescribe $\mathrm{Bir}(X)$ for general complete intersections of ample divisorsin arbitrary products of projective spaces. Then, under a certain condition, wegive a description of the boundary of $\overline{\mathrm{Mov}}(X)$ and anapplication connected to the numerical dimension of divisors.

Birational automorphism groups and the movable cone theorem for Calabi-Yau complete intersections of products of projective spaces