A reduction of canonical stability index of 4 and 5 dimensional projective varieties with large volume
arXiv:1504.03939
Abstract
We study the canonical stability index of nonsingular projective varieties of general type with either large canonical volume or large geometric genus. As applications of a general extension theorem established in the first part, we prove some optimal results in dimensions 4 and 5, which are parallel to some well-known results on surfaces and 3-folds.
Final version, 35 pages, Annales de l'Institut Fourier (to appear)