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Birger Iversen

Lecture Notes On Local Rings

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A01=Birger Iversen
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Author_Birger Iversen
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B01=Holger Andreas Nielsen
Birger's Results
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COP=Singapore
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Fitting Ideals
Injective Modules
Language_English
Local Cohomology
Local Rings
Matlis Duality
McRae Invariants
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Serre's Intersection Conjecture
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Product details

  • ISBN 9789814603652
  • Publication Date: 26 Aug 2014
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
  • Language: English
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Description
The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants.