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arxiv: 1211.4833 · v4 · pith:WPVWKJBGnew · submitted 2012-11-20 · 🧮 math.AG · math.DG

On the moduli of Kahler-Einstein Fano manifolds

classification 🧮 math.AG math.DG
keywords fanokahler-einsteinmanifoldsmodulialgebraicautomorphismboundarycanonical
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We prove that Kahler-Einstein Fano manifolds with finite automorphism groups form Hausdorff moduli algebraic space with only quotient singularities. We also discuss the limits as Q-Fano varieties which should be put on the boundary of its canonical compactification.

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