论文标题
具有无限组件,模量压缩和限制环形结构的变性的卡拉比(Calabi-Yau)品种
Degenerated Calabi-Yau varieties with infinite components, Moduli compactifications, and limit toroidal structures
论文作者
论文摘要
对于任何退化的Calabi-Yau家族,我们引入了新的极限空间,我们称之为Galaxy,其密集的子空间是与Kontsevich-Soibelman的基本骨骼的合理点进行参数的无数开放式Calabi-Yau品种的不相交结合,而在Huber Adifical Adifical Adifice of Puise use the Puise serial Field中占主导地位。 其他主题包括:环形紧凑型的投影限制,以我们所谓的极限品种的局部建模,即将热带化家族连接到给定的卡拉比野家族的方式,它们彼此之间存在微弱相关。
For any degenerating Calabi-Yau family, we introduce new limit space which we call galaxy, whose dense subspace is the disjoint union of countably infinite open Calabi-Yau varieties, parametrized by the rational points of the Kontsevich-Soibelman's essential skeleton, while dominated by the Huber adification over the Puiseux series field. Other topics include: projective limits of toroidal compactifications, locally modelled on what we call the limit toric varieties, the way to attach tropicalized family to given Calabi-Yau family, which are weakly related to each other.