Keiji Oguiso and Tuyen Trung Truong
Abstract: We present the first explicit examples of a rational threefold and a Calabi-Yau threefold, admitting biregular automorphisms of positive entropy not preserving any dominant rational maps to lower positive dimensional varieties. The most crucial part is the rationality of the quotient threefold of a $3$-dimensional torus of product type.
ArXiv: 1306.1590