Finiteness results for hyperkaehler manifolds
代数几何
2007-05-23 v1 微分几何
摘要
In this short note we prove that the number of deformation types of compact hyperkaehler manifolds with prescribed second cohomology and second Chern class is finite. The proof uses the finiteness result of Kollar and Matsusaka, a formula by Hitchin and Sawon and the surjectivity of the period map.
关键词
引用
@article{arxiv.math/0109024,
title = {Finiteness results for hyperkaehler manifolds},
author = {Daniel Huybrechts},
journal= {arXiv preprint arXiv:math/0109024},
year = {2007}
}
备注
8 pages