论文标题
二维实际分析约束差异系统的奇异性的分辨率
Resolution of singularities of 2-dimensional real analytic constrained differential systems
论文作者
论文摘要
我们提出了一个针对真实分析约束差分系统的奇异性的定理$ a（x）\ dot {x} = f（x）$在2个2个manifold上定义的，角落有僵局设置$ \ {x; \ det a（x）= 0 \} $。该结果可以看作是对二维实际分析矢量场的经典概括的概括。我们的证明是基于加权爆炸和牛顿多边形的。
We present a theorem of resolution of singularities for real analytic constrained differential systems $A(x)\dot{x} = F(x)$ defined on a 2-manifold with corners having impasse set $\{x; \det A(x) = 0\}$. This result can be seen as a generalization of the classical one for 2-dimensional real analytic vector fields. Our proof is based on weighted blow-ups and the Newton polygon.
