论文标题
在本地戒指中的Chern号码中
On the set of Chern numbers in local rings
论文作者
论文摘要
本文目的是表征Noetherian Local Rings $（R，\ Mathfrak {M}）$，以使某些$ \ Mathfrak {M} $的Chern数字 - $ r $中的$ r $中的主要理想或仅在有限的许多值之中。因此，我们表征了Gorensteinness，Cohen-Macaulayness，从其Chern数字的行为方面，当地环的普遍Cohen-Macaulayness。
This paper purposes to characterize Noetherian local rings $(R, \mathfrak{m})$ such that the Chern numbers of certain $\mathfrak{m}$-primary ideals in $R$ bounded above or range among only finitely many values. Consequently, we characterize the Gorensteinness, Cohen-Macaulayness, generalized Cohen-Macaulayness of local rings in terms of the behavior of its Chern numbers.
