About a Minimal Model Program without flips
Algebraic Geometry
2014-11-17 v2
Abstract
We introduce a new vector space associated to projective variety, the Weil Neron-Severi space, which we show is finitely generated and contains the usual Neron-Severi space as a subspace. We define the Nef cone of Weil divisor and the cone of Weil curves. We study these cones, and prove a new Cone theorem. We use this theorem to propose a Minimal Model Program without flips.
Cite
@article{arxiv.1410.6230,
title = {About a Minimal Model Program without flips},
author = {Alberto Chiecchio},
journal= {arXiv preprint arXiv:1410.6230},
year = {2014}
}
Comments
Version 2: We clarified the exposition and made more explicit what is still missing (e.g. termination), and added some remarks