Abstract
We prove that the Gromov-Hausdorff compactification of the moduli space of Kahler-Einstein Del Pezzo surfaces in each degree agrees with certain algebro-geometric compactification. In particular, this recovers Tian's theorem on the existence of Kahler- Einstein metrics on smooth Del Pezzo surfaces and classifies all the degenerations of such metrics. The proof is based on a combination of both algebraic and differential geometric techniques.
Original language | English |
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Journal | Journal of Differential Geometry |
Volume | 102 |
Issue | 1 |
Pages (from-to) | 127-172 |
Number of pages | 46 |
ISSN | 0022-040X |
Publication status | Published - Jan 2016 |
Externally published | Yes |