论文标题
在相对的莫里森 - 卡瓦玛塔锥体上
On the relative Morrison-Kawamata cone conjecture
论文作者
论文摘要
我们将莫里森 - 卡瓦玛塔锥(Morrison-Kawamata锥体)构想与卡拉比河纤维空间的存在与shokurov多面体的存在。对于K3纤维,建立了可移动锥的(弱)基本域的存在。研究了相对锥体引起的几何或通用纤维的锥体构之间的关系。
We relate the Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces to the existence of Shokurov polytopes. For K3 fibrations, the existence of (weak) fundamental domains for movable cones is established. The relationship between the relative cone conjecture and the cone conjecture for its geometric or generic fibers is studied.