Depth for complexes, and intersection theorems
S. Iyengar

Abstract.
This paper introduces a new notion of depth for complexes; 
it agrees with the classical definition for modules, and 
coincides with earlier extensions to complexes, whenever 
those are defined. Techniques are developed leading to a 
quick proof of an extension of the Improved New Intersection 
Theorem (this uses Hochster's big Cohen-Macaulay modules), 
and also a generalization of the ``depth formula'' for 
tensor product of modules. Properties of depth for complexes 
are established, extending the usual properties of depth 
for modules.