关于$q$-完全流形的霍奇猜想
代数几何
2016-03-09 v2 复变函数
摘要
我们证明了对于任意满足的-完全复流形，其整系数最高维上同调群的霍奇猜想成立。特别地，这适用于由个独立方程定义的任意复射影流形的补集。
引用
@article{arxiv.1404.2225,
title = {On the Hodge conjecture for $q$-complete manifolds},
author = {Franc Forstneric and Jaka Smrekar and Alexandre Sukhov},
journal= {arXiv preprint arXiv:1404.2225},
year = {2016}
}
备注
In this version we improved most of the main results, showing that the analytic cycles representing the top dimensional cohomology classes of a $q$-complete complex manifold can be chosen to consist of holomorphic images of the ball (instead of ellipsoids that were used in Version 1)