相对于一对代数集的局部上同调

Local cohomology with respect to a pain of algebraic sets

设R为含幺交换环,X,Yspec(R).在本文中,我们引入了相对于X,Y的广义局部上同调,并研究了它与一般局部上同调的关系及它的消失性.

In this article,we introduce local cohomology with respect to a pair of algebraic sets,which is a generation of local cohomology with respect to a pair of ideals,and study its connection with ordinary local cohomology and its vanishing property.