Fano varieties with many selfmaps
Copyright policy )Fano varieties with many selfmaps
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
- Universtity of Edinburgh United Kingdom
- University of Edinburgh United Kingdom
Kähler–Einstein metric, Non-rationality, Fano threefold, Mathematics(all), Birational automorphism, Birational automorphisms, Cremona group and generalizations, weighted hypersurface, 14E05, 14E07, 14E08, 14J45, 14Q10, 32Q20, Mathematics - Algebraic Geometry, Weighted hypersurface, Kähler-Einstein metric, birational automorphism, non-rationality, Fano varieties, log-canonical threshold, Log canonical threshold, Rationality questions in algebraic geometry, FOS: Mathematics, \(3\)-folds, Algebraic Geometry (math.AG)
Kähler–Einstein metric, Non-rationality, Fano threefold, Mathematics(all), Birational automorphism, Birational automorphisms, Cremona group and generalizations, weighted hypersurface, 14E05, 14E07, 14E08, 14J45, 14Q10, 32Q20, Mathematics - Algebraic Geometry, Weighted hypersurface, Kähler-Einstein metric, birational automorphism, non-rationality, Fano varieties, log-canonical threshold, Log canonical threshold, Rationality questions in algebraic geometry, FOS: Mathematics, \(3\)-folds, Algebraic Geometry (math.AG)
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