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Article

Log canonical thresholds of certain Fano hypersurfaces

Mathematische Zeitschrift. 2014. No. 276. P. 51-79.
Cheltsov Ivan, Park J., Won J.

We study log canonical thresholds on quartic threefolds, quintic fourfolds, and double spaces. As an important application, we show that they have Kähler–Einstein metrics if they are general.