Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups
Résumé
Dedicated to Professor Yujiro Kawamata on the occasion of his sixtieth birthday. 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 Gasket. Then, we produce explicit examples of (biregular) automorphisms with positive entropy on some Calaby-Yau varieties.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)
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