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Canonical and log canonical thresholds of Fano complete intersections
Aleksandr V. Pukhlikov - Personal Name
It is proved that the global log canonical threshold of a Zariski general
Fano complete intersection of index 1 and codimension k in PM+k is equal to one, if
M 2k + 3 and 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 Kähler–Einstein
metrics on generic Fano complete intersections described above.
Fano complete intersection of index 1 and codimension k in PM+k is equal to one, if
M 2k + 3 and 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 Kähler–Einstein
metrics on generic Fano complete intersections described above.
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