Contact loci in arc spaces
Contact loci in arc spaces
复制标题
弧空间中的接触轨迹
作者：
L. Ein;R. Lazarsfeld;M. Mustaţă
我们给出了一个几何描述的轨迹在弧空间定义的顺序接触与一个给定的子计划，使用的解决方案的奇点。这就引出了弧空间中由圆柱体定义的赋值与除数赋值的鉴别。特别是，我们恢复来自弧和喷气机的奇异性的决议的不变量的描述。
We give a geometric description of the loci in the arc space defined by order of contact with a given subscheme, using the resolution of singularities. This induces an identification of the valuations defined by cylinders in the arc space with divisorial valuations. In particular, we recover the description of invariants coming from the resolution of singularities in terms of arcs and jets.