A Somewhat Gentle Introduction to Differential Graded Commutative Algebra

@inproceedings{Beck2013ASG,
  title={A Somewhat Gentle Introduction to Differential Graded Commutative Algebra},
  author={Kristen A. Beck and S. Sather-Wagstaff},
  year={2013}
}
Differential graded (DG) commutative algebra provides powerful techniques for proving theorems about modules over commutative rings. These notes are a somewhat colloquial introduction to these techniques. In order to provide some motivation for commutative algebraists who are wondering about the benefits of learning and using these techniques, we present them in the context of a recent result of Nasseh and Sather-Wagstaff. These notes were used for the course “Differential Graded Commutative… Expand
7 Citations
Extension groups for DG modules
  • 3
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Koszul complexes over Cohen-Macaulay rings
  • 1
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Semidualizing DG modules over tensor products
  • 5
  • PDF

References

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Descent via Koszul extensions
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On modules with trivial self-extensions
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Multiplicities of Semidualizing Modules
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Semidualizing modules and the divisor class group
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Bass numbers and semidualizing complexes
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Semi-dualizing complexes and their Auslander categories
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