Derived Category Methods in Commutative Algebra

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This book project is joint with Hans-Bjørn Foxby and Henrik Holm.

The most recent version of the manuscript was posted on 23 Novmber 2021  dcmca.pdf.

Next update is expected in January 2022.

Disclaimer

The manuscript is a draft; please do not circulate it. Comments are most welcome.

Change log

Date Notes
23 November 2021 Moved part of Chapter 11 to Part III and added complete drafts of Chapters 12–15.
30 September 2020 Final drafts of Parts I and II (Chapters 1–11) and appendices A–F.
22 October 2019 Complete drafts of Parts I and II (Chapters 1–11) and appendices A–F.
18 September 2018 Updates to Chapters 7 and 8.
13 April 2018 Updated drafts of Chapters 7 and 11, added draft of Chapter 10.
10 Nov 2017 Updated drafts of Chapter 3 and added draft of Chapter 11. Moved old section 5.4 to new Appendix B.
9 Feb 2017 Updated drafts of Chapter 7 and added draft of Chapter 9.
18 Aug 2016 Updated drafts of Chapters 1–6 and Appendices A–E and revised drafts of Chapters 7–8; drafts now stable.
13 Nov 2012 Updated drafts of Chapters 7 and 8 and appendix C. Now 482 pp.
13 June 2012 The categorical constructions now have a chapter of their own; Chapter 3. Edited chapters 1–6 for coherence and added exercises. Added appendix on triangulated categories. Now 456 pp.
8 June 2011 Chapter 2 split in 2. Updates to first six chapters. Now 370 pp.
29 May 2010 Chapters 4, 5 and 6 refactored. Removed the Synopsis. Added material in Chapter 15. Added appendices on dimension theory and projective dimension of flat modules. Now 315 pp.
31 August 2009 Major revision of chapters 1, 3, and 4. Part III reorganized and material on finitistic and global dimensions added. Now 293 pp.
5 July 2008 Moved to Springer-Verlag's layout. Material about fundamental isomorphisms added in Chapters 1, 2, and 4. Synopsis of Chapter 16 added.
10 May 2007 The material has been reorganized, but no significant additions have been made compared to previous version.
12 Dec 2006 Lecture notes from Math 918, Fall 2006. Includes: Preface, TOC, Introduction, Synopsis, seven chapters, Bibliography, Glossary, List of Symbols, and Index.
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