Minimal models and boundedness of stable varieties
Algebraic Geometry
2007-05-23 v1
Abstract
We consider a class of stable smoothable n-dimensional varieties, the analogs of stable curves. Assuming the minimal model program in dimension n+1, we prove that this class is bounded. From Kollar's method of constructing projective moduli spaces we get as a corollary that minimal model program in dimension n+1 implies the existence of a projective coarse moduli space for stable smoothable n-folds.
Cite
@article{arxiv.math/9804049,
title = {Minimal models and boundedness of stable varieties},
author = {Kalle Karu},
journal= {arXiv preprint arXiv:math/9804049},
year = {2007}
}
Comments
12 pages