论文标题
迈向通用Kummer类型的HyperKähler歧管的通用基础点
Towards generic base-point-freeness for hyperkähler manifolds of generalized Kummer type
论文作者
论文摘要
我们研究了广义kummer类型的高kähler歧管上的大和NEF线捆绑包的基础点：对于$ n \ in \ {2,3,4 \} $，我们表明，除了有限数量的不可降值组件外，几乎是$ \ nathrm iS-mathrm iS-polarm iS-iis-polie is-polorial is polorige as polorige Is-kum {kum {kum {kum-typeperieprieprieprieprieprieptions iS以外的所有数量均不可降低。如果极化性具有分裂性，我们还可以在模量空间中在模量空间中证明通用的基点。
We study base-point-freeness for big and nef line bundles on hyperkähler manifolds of generalized Kummer type: For $n\in \{2,3,4\}$, we show that, generically in all but a finite number of irreducible components of the moduli space of polarized $\mathrm{Kum}^n$-type varieties, the polarization is base-point-free. We also prove generic base-point-freeness in the moduli space in all dimensions if the polarization has divisibility one.
