The cone of pseudo-effective divisors of log varieties after Batyrev
Algebraic Geometry
2009-06-30 v2
Abstract
In these notes we investigate the cone of nef curves of projective varieties, which is the dual cone to the cone of pseudo-effective divisors. We prove a structure theorem for the cone of nef curves of projective -factorial klt pairs of arbitrary dimension from the point of view of the Minimal Model Program. This is a generalization of Batyrev's structure theorem for the cone of nef curves of projective terminal threefolds.
Keywords
Cite
@article{arxiv.math/0502174,
title = {The cone of pseudo-effective divisors of log varieties after Batyrev},
author = {Carolina Araujo},
journal= {arXiv preprint arXiv:math/0502174},
year = {2009}
}
Comments
15 pages. v2: Completely rewritten paper. Structure theorem for the cone of nef curves proved in arbitrary dimension using results of Birkar, Cascini, Hacon and McKernan. To appear in Mathematische Zeitschrift