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arxiv: math/0611881 · v5 · submitted 2006-11-28 · 🧮 math.AG

Fano varieties with many selfmaps

classification 🧮 math.AG
keywords fanovarietiesanticanonicallyautomorphismsbirationalcanonicaldiscreteembedded
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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.

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