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Kähler-Einstein metrics on ℚ -smoothable Fano varieties, their moduli and some applications

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We survey recent results on the existence of Kähler-Einstein metrics on certain smoothable Fano varieties, focusing on the importance of such metrics in the construction of compact algebraic moduli spaces of K-polystable Fano varieties. Moreover, we give some applications and we discuss some natural problems which deserve future investigations.

Original languageEnglish
Title of host publicationSpringer INdAM Series
Number of pages19
Volume21
PublisherSpringer
Publication year1 Jan 2017
Pages211-229
DOIs
Publication statusPublished - 1 Jan 2017
SeriesSpringer INdAM Series
Volume21
ISSN2281-518X

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