论文标题
mori梦想债券和$ \ mathbb {c}^*$ - 动作
Mori Dream Bonds and $\mathbb{C}^*$-actions
论文作者
论文摘要
我们构建了由普通投射品种的小修改与$ \ mathbb {c}^*$ - 在两极分化对的动作（是边界）上的动作的莫里梦区域之间的对应关系。此外，我们表明，以这种方式构建的莫里梦区域承认了室内分解，模型是$ \ mathbb {c}^*$ - action的几何标。此外，我们从给定的$ \ mathbb {c}^*$ - 对两对两对的作用，至少存在两个可接受的几何商，即$ \ mathbb {c}^*$ - equivariant equivariant equivariant operational $ \ mathbb {c}^*$ - 诱导的动作，其诱导的动作是一个称为bord over a varter的动作。
We construct a correspondence between Mori dream regions arising from small modifications of normal projective varieties and $\mathbb{C}^*$-actions on polarized pairs which are bordisms. Moreover, we show that the Mori dream regions constructed in this way admit a chamber decomposition on which the models are the geometric quotients of the $\mathbb{C}^*$-action. In addition we construct, from a given $\mathbb{C}^*$-action on a polarized pair for which there exist at least two admissible geometric quotients, a $\mathbb{C}^*$-equivariantly birational $\mathbb{C}^*$-variety, whose induced action is a bordism, called the pruning of the variety.
