Highly Influential

6 Excerpts

- Published 1999

A general eventual freeness result is given for nef and big line bundles in positive characteristic. One application is to the geometry of the universal stable curve over Mg , specifically, the eventual freeness of the relative dualizing sheaf, in positive characteristic. An example is given which shows this fails in characteristic zero. A second application is to Mori’s program for minimal models of 3-folds in positive characteristic, namely, to the existence of birational extremal contractions. §

@inproceedings{Keel1999BASEPOINTFF,
title={BASEPOINT FREENESS FOR NEF AND BIG LINE BUNDLES IN POSITIVE CHARACTERISTIC, WITH APPLICATIONS TO Mg AND TO 3-FOLD MMP},
author={S. Keel},
year={1999}
}