Minimizing CM degree and slope stability of projective varieties
Algebraic Geometry
2019-11-06 v3
Abstract
We discuss a minimization problem of the degree of the CM line bundle among all possible fillings of a polarized family with fixed general fibers. We show that such minimization implies the slope semistability of the fiber if the central fiber is smooth.
Cite
@article{arxiv.1811.12229,
title = {Minimizing CM degree and slope stability of projective varieties},
author = {Kentaro Ohno},
journal= {arXiv preprint arXiv:1811.12229},
year = {2019}
}
Comments
14 pages