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arxiv: 1505.07754 · v2 · pith:5EWABFQ2new · submitted 2015-05-28 · 🧮 math.AG · math.DG

On K-stability of finite covers

classification 🧮 math.AG math.DG
keywords coversfanoadmittingahler-einsteincertaindoubleexamplesfinite
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We show that certain Galois covers of K-semistable Fano varieties are K-stable. We use this to give some new examples of Fano manifolds admitting K\"ahler-Einstein metrics, including hypersurfaces, double solids and threefolds.

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