Kähler群的上同调限制
代数几何
2007-05-23 v2 群论
摘要
Kähler群的关系数下界由生成元个数以及相应紧Kähler流形的某些几何不变量(如非正则性、Albanese维数与Albanese亏格)所界定。上述几何不变量的适当函数被证明在由Albanese维数所确定的范围内,是该Kähler群Betti数的下界。
引用
@article{arxiv.math/0105177,
title = {Cohomological restrictions on Kahler groups},
author = {Azniv Kasparian},
journal= {arXiv preprint arXiv:math/0105177},
year = {2007}
}
备注
The author apologizes for claiming incorrectly in the previous version that a theorem of Remmert and Van de Ven, used by Amoros is wrong. As pointed out by Prof. Amoros, the counterexample, constructed there, is fake since the exterior product of a vector space with itself has nontrivial kernel and does not admit a projectivization. Both, Remmert and Van de Ven's Theorem and Amoros' results are perfectly accurate. The note conststs of 11 pages