论文标题
关于纳什集合中的正式社区的行为，与复标估值相关：比较定理
On the behavior of formal neighborhoods in the Nash sets associated with toric valuations: a comparison theorem
论文作者
论文摘要
我们表明，在纳什（Nash）套装中，通用正式社区之间存在着牢固的联系，该弧形与感谢您的纳什（Etric）品种上的感谢您的纳什分区估值相关，而在同一纳什（Nash）套装的通用点上则存在着相关的分区估值。这可以解释为以下事实：沿着这样的纳什套件进行分析，感谢您的弧形方案是有限维奇异性和无限尺寸仿射空间的产物。
We show that there exists a strong connection between the generic formal neighborhood at a rational arc lying in the Nash set associated with a toric divisorial valuation on a toric variety and the formal neighborhood at the generic point of the same Nash set. This may be interpreted as the fact that, analytically along such a Nash set, the arc scheme of a toric variety is a product of a finite dimensional singularity and an infinite dimensional affine space.
