Mathematische Zeitschrift

, Volume 230, Issue 3, pp 545–567

Depth for complexes, and intersection theorems

  • S. Iyengar

DOI: 10.1007/PL00004705

Cite this article as:
Iyengar, S. Math Z (1999) 230: 545. doi:10.1007/PL00004705


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.

Mathematics Subject Classification (1991): 13C15, 13D25, 18G15 

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • S. Iyengar
    • 1
  1. 1. Department of Mathematics, Purdue University, W. Lafayette, IN 47907, USA (e-mail: US

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