Symmetries, quotients and Kähler-Einstein metrics
Copyright policy )Symmetries, quotients and Kähler-Einstein metrics
We consider Fano manifolds M that admit a collection of finite automorphism groups G_1, ..., G_k, such that the quotients M/G_i are smooth Fano manifolds possessing a Kaehler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that M admits a Kaehler-Einstein metric too.
30 pages, Latex
- University of Parma Italy
- University of Milano-Bicocca Italy
- University of Pavia Italy
Mathematics - Differential Geometry, Fano manifolds, Kähler-Einstein manifolds, Global differential geometry of Hermitian and Kählerian manifolds, Kaehler-Einstein metrics, 53C55, Varieta' di Fano, 53C25, 510, Kähler-Einstein metrics, Mathematics - Algebraic Geometry, Orbifold, Differential Geometry (math.DG), Fano varieties, FOS: Mathematics, Kaheler Einstein metric, covering spaces, Algebraic Geometry (math.AG), 53C55; 53C25
Mathematics - Differential Geometry, Fano manifolds, Kähler-Einstein manifolds, Global differential geometry of Hermitian and Kählerian manifolds, Kaehler-Einstein metrics, 53C55, Varieta' di Fano, 53C25, 510, Kähler-Einstein metrics, Mathematics - Algebraic Geometry, Orbifold, Differential Geometry (math.DG), Fano varieties, FOS: Mathematics, Kaheler Einstein metric, covering spaces, Algebraic Geometry (math.AG), 53C55; 53C25
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