Existence of the Kähler-Einstein metric on certain Fano complete intersections
The existence of Kähler-Einstein metric on Fano varieties is an important problem both in differential and in algebraic geometry. Thanks to the work of \textit{J. P. Demailly} and \textit{J. Kollár} [Ann. Sci. Éc. Norm. Supér. (4) 34, No. 4, 525--556 (2001; Zbl 0994.32021)], the existence of such a metric can be obtained via a lower bound on the global log canonical threshold of the variety. The paper under review follows this method and proves the existence of the metric for the general element of a class of Fano complete intersection satisfying some numerical constraint.
scientific article; zbMATH DE number 5980697
scientific article