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Cohen-Macaulay Representations
About this Title
Graham J. Leuschke, Syracuse University, Syracuse, NY and Roger Wiegand, University of Nebraska-Lincoln, Lincoln, NE
Publication: Mathematical Surveys and Monographs
Publication Year:
2012; Volume 181
ISBNs: 978-0-8218-7581-0 (print); 978-0-8218-8790-5 (online)
DOI: https://doi.org/10.1090/surv/181
MathSciNet review: 2919145
MSC: Primary 13C14; Secondary 13H10, 16G10
Table of Contents
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Front/Back Matter
Chapters
- 1. The Krull-Remak-Schmidt theorem
- 2. Semigroups of modules
- 3. Dimension zero
- 4. Dimension one
- 5. Invariant theory
- 6. Kleinian singularities and finite CM type
- 7. Isolated singularities and dimension two
- 8. The double branched cover
- 9. Hypersurfaces with finite CM type
- 10. Ascent and descent
- 11. Auslander-Buchweitz theory
- 12. Totally reflexive modules
- 13. Auslander-Reiten theory
- 14. Countable Cohen-Macaulay type
- 15. The Brauer-Thrall conjectures
- 16. Finite CM type in higher dimensions
- 17. Bounded CM type
- Appendix A. Basics and background
- Appendix B. Ramification theory