A Briancon-Skoda type theorem for graded systems of ideals

通过大Cohen-Macaulay代数的弱函子性证明Briançon-Skoda定理

The Briançon-Skoda Theorem via weak functoriality of big Cohen-Macaulay algebras

本文证明任何充分函子化的大Cohen-Macaulay代数指派所诱导的理想闭包运算都满足Briançon-Skoda型性质，并在混合特征下借助Bhatt的结果加强了Heitmann的定理。

A Briançon-Skoda type result for a non-reduced analytic space

We present here an analogue of the Briançon-Skoda theorem for a germ of an analytic space $Z$ at 0, such that $O_{Z,0}$ is Cohen-Macaulay, but not necessarily reduced. More precisely, we find a sufficient condition for membership of a function in a power of an arbitrary ideal $a^l \subset O_{Z,0}$ in terms of size conditions of Noetherian differential operators applied to that function. This result generalizes a theorem by Huneke in the reduced case.

伪有理和Du Bois奇点的Briançon-Skoda定理及优秀环中的一致性

The Briançon-Skoda theorem for pseudo-rational and Du Bois singularities and uniformity in excellent rings

本文证明了一个广义Briançon-Skoda型包含关系，并由此推出伪有理奇点（如正则环）和Du Bois奇点下的完整Briançon-Skoda包含，同时应用于证明有限维拟优秀环的一致Artin-Rees定理和一致Briançon-Skoda定理。

On the Briancon-Skoda theorem on a singular variety

Let $Z$ be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform Briancon-Skoda theorem for the local ring $\mathcal{O}_Z$; a result which was previously proved by Huneke by algebraic methods. For ideals with few generators we also get much sharper results.

关于叶状结构的Briançon-Skoda定理

On Briançon-Skoda theorem for foliations

本文将Briançon-Skoda定理推广到第二型叶状结构，建立其Milnor数与Tjurina数的关系，并给出代数曲线全局Tjurina数的下界。

A global Brianç con-Skoda-Huneke-Sznajdman theorem

We prove a global effective membership result for polynomials on a non-reduced algebraic subvariety of $\C^N$. It can be seen as a global version of a recent local result of Sznajdman, generalizing the Briançon-Skoda-Huneke theorem for the local ring of holomorphic functions at a point on a reduced analytic space.