K-稳定簇模空间的分离性
代数几何
2013-11-06 v2 微分几何
摘要
给定一个极化代数簇的单参数平坦族，我们证明了任何 K-稳定极限都是唯一的。特别地，K-稳定极化簇的模空间在存在时自动是 Hausdorff 的。我们还利用 CM 线丛给出了 K-稳定极限的刻画，并讨论了其在模空间方面的一些应用。我们的方法适用于任意特征下的任意射影概形。
引用
@article{arxiv.1305.6854,
title = {Separatedness of moduli of K-stable varieties},
author = {Yuji Odaka and Richard P Thomas},
journal= {arXiv preprint arXiv:1305.6854},
year = {2013}
}
备注
Withdrawn for now due to some extra components in a blow up that we had missed. We still hope to get an appropriate birational model of the total space using MMP, to recover the result under appropriate conditions in the future. Comments would be appreciated!