Degenerations of Kähler-Einstein Fano Manifolds
arXiv:1211.5334
Abstract
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.
132 pages. PhD Thesis