K-stability and parabolic stability
Differential Geometry
2013-04-02 v3
Abstract
Parabolic structures with rational weights encode certain iterated blowups of geometrically ruled surfaces. In this paper, we show that the three notions of parabolic polystability, K-polystability and existence of constant scalar curvature K\"ahler metrics on the iterated blowup are equivalent, for certain polarizations close to the boundary of the K\"ahler cone.
Keywords
Cite
@article{arxiv.1303.2332,
title = {K-stability and parabolic stability},
author = {Yann Rollin},
journal= {arXiv preprint arXiv:1303.2332},
year = {2013}
}
Comments
20 pages. Many typos corrected in this version