Movable cones of complete intersections of multidegree one on products of projective spaces

2022/07/22 by Hoff, Michael, Stenger, Isabel, Yáñez, José Ignacio
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2207.11150

Abstract

We study Calabi-Yau manifolds which are complete intersections of hypersurfaces of multidegree 1 in an m-fold product of n-dimensional projective spaces. Using the theory of Coxeter groups, we show that the birational automorphism group of such a Calabi-Yau manifold X is infinite and a free product of copies of ℤ . Moreover, we give an explicit description of the boundary of the movable cone Mov(X). In the end, we consider examples for the general and non-general case and picture the movable cone and the fundamental domain for the action of Bir(X).

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