Extremal metrics and K-stability
代数几何
2007-05-23 v3 微分几何
摘要
We propose an algebraic geometric stability criterion for a polarised variety to admit an extremal Kaehler metric. This generalises conjectures by Yau, Tian and Donaldson which relate to the case of Kaehler-Einstein and constant scalar curvature metrics. We give a result in geometric invariant theory that motivates this conjecture, and an example computation that supports it.
引用
@article{arxiv.math/0410401,
title = {Extremal metrics and K-stability},
author = {Gábor Székelyhidi},
journal= {arXiv preprint arXiv:math/0410401},
year = {2007}
}
备注
13 pages, v3: fixed typos