Canonical and log canonical thresholds of Fano complete intersections
Abstract
It is proved that the global log canonical threshold of a Zariski general Fano complete intersection of index 1 and codimension $k$ in ${\mathbb P}^{M+k}$ is equal to one, if $M\geqslant 2k+3$ and the maximum of the degrees of defining equations is at least 8. This is an essential improvements of the previous results about log canonical thresholds of Fano complete intersections. As a corollary we obtain the existence of K\" ahlerEinstein metrics on generic Fano complete intersections described above.
 Publication:

arXiv eprints
 Pub Date:
 March 2017
 DOI:
 10.48550/arXiv.1704.00021
 arXiv:
 arXiv:1704.00021
 Bibcode:
 2017arXiv170400021P
 Keywords:

 Mathematics  Algebraic Geometry;
 14E05;
 14E07;
 14J45
 EPrint:
 17 pages