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arxiv: 1211.5334 · v1 · pith:HEXZN22Cnew · submitted 2012-11-22 · 🧮 math.DG · math.AG

Degenerations of K\"ahler-Einstein Fano Manifolds

classification 🧮 math.DG math.AG
keywords fanomanifoldsmetricspacesahler-einsteinalgebraiccompactificationsdegenerate
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In this Thesis, I investigate how Fano manifolds equipped with a Kahler-Einstein metric can degenerate as metric spaces (in the Gromov-Hausdorff topology) and some of the relations of this question with Algebraic Geometry, in particular in the direction of the study of moduli spaces and their compactifications.

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