论文标题
关于超卡勒歧管非理性性的振动和衡量标准
On fibrations and measures of irrationality of hyper-Kähler manifolds
论文作者
论文摘要
我们证明了来自Hyper-Kähler歧管的纤维和理性图的图像。我们特别研究了纤维纤维的最小属成曲线。本文的最后一部分致力于研究由线性系统在超级kähler上定义的合理图，四倍满足数值条件，类似于奥格雷迪（O'Grady）在数值上等同于$ k3^^{[2]} $的四倍等同的研究中所考虑的数值条件。我们将他的结果扩展到更一般的环境。
We prove some results on the fibers and images of rational maps from a hyper-Kähler manifold. We study in particular the minimal genus of fibers of a fibration into curves. The last section of this paper is devoted to the study of the rational map defined by a linear system on a hyper-Kähler fourfold satisfying numerical conditions similar to those considered by O'Grady in his study of fourfolds numerically equivalent to $K3^{[2]}$. We extend his results to this more general context.
