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Derived categories for the working mathematician

代数几何 2007-05-23 v2 高能物理 - 理论

摘要

It is becoming increasingly difficult for geometers and even physicists to avoid papers containing phrases like `triangulated category', not to mention derived functors. I will give some motivation for such things from algebraic geometry, and show how the concepts are already familiar from topology. This gives a natural and simple way to look at cohomology and other scary concepts in homological algebra like Ext, Tor, hypercohomology and spectral sequences.

关键词

引用

@article{arxiv.math/0001045,
  title  = {Derived categories for the working mathematician},
  author = {R. P. Thomas},
  journal= {arXiv preprint arXiv:math/0001045},
  year   = {2007}
}

备注

Silly mistake pointed out by Tony Scholl corrected