A cone theorem for nef curves
Algebraic Geometry
2011-03-03 v4
Abstract
Following ideas of V. Batyrev, we prove an analogue of the Cone Theorem for the closed cone of nef curves: an enlargement of the cone of nef curves is the closure of the sum of a K_X-non-negative portion and countably many K_X-negative coextremal rays. An example shows that this enlargement is necessary. We also describe the relationship between K_X-negative faces of this cone and the possible outcomes of the minimal model program.
Cite
@article{arxiv.0807.2294,
title = {A cone theorem for nef curves},
author = {Brian Lehmann},
journal= {arXiv preprint arXiv:0807.2294},
year = {2011}
}
Comments
20 pages; v4: improved introduction, several small mistakes corrected