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Fano varieties with many selfmaps
Authors:Ivan Cheltsov
Institution:School of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ, UK
Abstract:We study global log canonical thresholds of anticanonically embedded quasismooth weighted Fano threefold hypersurfaces having terminal quotient singularities to prove the existence of a Kähler-Einstein metric on most of them, and to produce examples of Fano varieties with infinite discrete groups of birational automorphisms.
Keywords:Fano threefold  Log canonical threshold  Weighted hypersurface    hler-Einstein metric  Birational automorphism  Non-rationality
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