Free Resolutions and Fitting Invariants
Part of the Graduate Texts in Mathematics book series (GTM, volume 150)
We shall treat five related areas in this chapter:
Many invariants in algebraic geometry and commutative algebra—from intersection numbers of varieties to the cohomology of sheaves to the depth and dimension of a module—may be defined in terms of free resolutions. Many of these invariants are actually invariants of the homology of complexes derived from free resolutions. Some others seem accessible only through free resolutions themselves.
Uniqueness of free resolutions
Fitting ideals of modules
What makes a complex exact?
The Hilbert-Burch structure theorem for perfect ideals of codimension 2
KeywordsExact Sequence Local Ring Free Resolution Twisted Section Minimal Free Resolution
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer-Verlag New York, Inc. 1995