Canonical and log canonical thresholds of Fano complete intersections

摘要

AbstractIt is proved that the global log canonical threshold of a Zariski general Fano complete intersection of index 1 and codimensionkin$${mathbb P}^{M+k}$$PM+kis equal to one, if$$Mgeqslant 2k+3$$M?2k+3and the maximum of the degrees of defining equations is at least 8. This is an essential improvement of the previous results about log canonical thresholds of Fano complete intersections. As a corollary we obtain the existence of K?hler–Einstein metrics on generic Fano complete intersections described above.]]>