形环的不可约分支及其在交圈中的应用
On the irreducible components of the form ring and an application to intersection cycles
摘要：
设$A$是交换诺特环，$I$是$A$中的理想.当伴随分次环$G_I A$的所有极小素数收缩为$A/I$的极小素数时，给出了相应的代数刻划.这一点应用于相交理论，意味着没有嵌入的交集的区别种类。该刻画是根据$I$的某些局部化的解析扩展，符号Rees代数和Rees代数的正规化，推广了Huneke，Vasconcelos和Martí-Farré的结果.
英文摘要：
Let $A$ be a commutative noetherian ring and $I$ an ideal in $A$. We characterize algebraically when all the minimal primes of the associated graded ring $G_I A$ contract to minimal primes of $A/I$. This, applied to intersection theory, means that there are no embedded distinguished varieties of intersection. The characterization is in terms of the analytic spread of certain localizations of $I$, the symbolic Rees algebra and the normalization of the Rees algebra, and extends results of Huneke, Vasconcelos and Martí-Farré.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
