Fano varieties with many selfmaps
arXiv:math/0611881
Abstract
We study global log canonical thresholds on anticanonically embedded quasismooth weighted Fano threefold hypersurfaces having terminal quotient singularities to prove the existence of a Kahler-Einstein metric on most of them, and to produce examples of Fano varieties with infinite discrete groups of birational automorphisms.
short version, 19 pages, to appear in Advances in Mathematics