论文标题
Groebner粉丝和嵌入式理想的分辨率
Groebner fan and embedded resolutions of ideals on toric varieties
论文作者
论文摘要
我们考虑了Groebner Fan和Newton非成分的概念，以构成感谢您的种类繁殖的理想，从而扩展了两个现有的观念，以实现仿射空间的理想。我们证明，没有关于基础场特征的假设，这种理想的“ groebner粉丝”实际上是一个多面体风扇，并且是由牛顿非脱位理想定义的子变量$x_σ$上的newton nondementore理想，承认，y singularities singularities singularities $ z_enularities $ z \ z_longrightarrow x______________
We consider the notions of Groebner fan and Newton non-degeneracy for an ideal on a toric variety, extending the two existing notions for ideals on affine spaces. We prove, without assumptions on the characteristic of the base fields, that the "Groebner fan" of such an ideal is actually a polyhedral fan and that a sub-variety defined by a Newton non-degenerate ideal on a toric variety $X_σ$ admits a toric embedded resolution of singularities $Z\longrightarrow X_σ.$
