Fano varieties with many selfmaps

Details Fano varieties with many selfmaps Fano varieties with many selfmaps

2006-11-28

arxiv.org/abs/math/0611881v5

Mathematics

Algebraic Geometry

short version, 19 pages, to appear in Advances in Mathematics

Scientific paper

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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