论文标题
覆盖理想的深度稳定性
Depth stability of cover ideals
论文作者
论文摘要
令r = k [x1，...，xr]为字段K上的多项式环。令G为带顶点集{1，...，r}的图形，让J为G。我们为符号深度函数函数SDSTAB（J）的稳定性指数提供了锐利的界限。在情况下，G是双方的，它为深度功能dstab（j）的稳定性指数（J）产生急剧结合，如果G是森林，则该结合是确切的。
Let R = K[x1,...,xr] be a polynomial ring over a field K. Let G be a graph with vertex set {1,...,r} and let J be the cover ideal of G. We give a sharp bound for the stability index of symbolic depth function sdstab(J). In the case G is bipartite, it yields a sharp bound for the stability index of depth function dstab(J) and this bound is exact if G is a forest.
