K Energy and K stability on Hypersurfaces
微分几何
2007-05-23 v1
摘要
In this paper, we study the limiting properties of the energy for smooth hypersurfaces in the projective spaces. Our result generalizes the result of Ding-Tian (W. Ding and G. Tian. K\"ahler-Einstein metrics and the generalized Futaki invariant. {\em Invent Math}, 110:315-335, 1992.) in the case of hypersurfaces. In particular, we allow the center fiber of a special degeneration (a degeneration by a one-parameter group) to have multiplicity great than 1.
引用
@article{arxiv.math/0108009,
title = {K Energy and K stability on Hypersurfaces},
author = {Zhiqin Lu},
journal= {arXiv preprint arXiv:math/0108009},
year = {2007}
}