Algebraic dynamics of Calabi-Yau manifolds of Wehler type
ABSTRACT
A general hypersurface X of multi-degree 2 in $(\P^1)^{d+1}$ is called a Calabi-Yau manifold of Wehler type (of dimension d >2). In this talk, after recalling some remarkable properties of X found by Cantat and me, I would like to show that X has a birational primitive automorphism, in particular, a birational automorphism with Zariski dense orbit, in any dimension d > 2. This is a generalization of my earlier work with some corrections of proof there.
