On Kähler-Einstein fake weighted projective spaces. (English) Zbl 1497.14100
Summary: We show that if a fake weighted projective space admits a Kähler-Einstein metric, then it is of type \(B_\infty\).
MSC:
| 14M25 | Toric varieties, Newton polyhedra, Okounkov bodies |
| 32Q20 | Kähler-Einstein manifolds |
| 52B20 | Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) |
| 52B15 | Symmetry properties of polytopes |
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