Degenerations of K\"ahler-Einstein Fano Manifolds

Cristiano Spotti

Degenerations of K\"ahler-Einstein Fano Manifolds

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arxiv 1211.5334 v1 pith:HEXZN22C submitted 2012-11-22 math.DG math.AG

Cristiano Spotti This is my paper · ORCID

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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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Existence of Kahler-Ricci solitons on smoothable Q-Fano varities
math.DG 2019-08 conditional novelty 6.0 of 10

K-stable smoothable Q-Fano varieties admit Kähler-Ricci solitons, extending the Yau-Tian-Donaldson correspondence for solitons from the smooth case to the singular smoothable case.

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