Birational Automorphism Groups and the Movable Cone Theorem for Calabi-yau Manifolds of Wehler Type via Universal Coxeter Groups

Abstract

Thanks to the theory of Coxeter groups, we produce the first family of Calabi-Yau manifolds X of arbitrary dimension n, for which Bir(X) is infinite and the Kawamata-Morrison movable cone conjecture is satisfied. For this family, the movable cone is explicitly described; it’s fractal nature is related to limit sets of Kleinian groups and to the Apollonian… (More)

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Cite this paper

@inproceedings{CANTAT2014BirationalAG, title={Birational Automorphism Groups and the Movable Cone Theorem for Calabi-yau Manifolds of Wehler Type via Universal Coxeter Groups}, author={SERGE CANTAT and Keiji Oguiso and Yujiro Kawamata}, year={2014} }