Studies in Duality on Noetherian Formal Schemes and Non-noetherian Ordinary Schemes
Alonso, Leovigildo; Jeremias, Ana; Lipman, J.
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Description for Studies in Duality on Noetherian Formal Schemes and Non-noetherian Ordinary Schemes
Paperback. Contains three papers on the foundations of Grothendieck duality on Noetherian formal schemes and on not-necessarily-Noetherian ordinary schemes. This book presents a self-contained treatment for formal schemes which synthesizes several duality-related topics, such as local duality, formal duality, residue theorems, and dualizing complexes. Series: Contemporary Mathematics. Num Pages: 126 pages, index. BIC Classification: PBKF; PBMW. Category: (P) Professional & Vocational. Dimension: 230. Weight in Grams: 248.
This volume contains three papers on the foundations of Grothendieck duality on Noetherian formal schemes and on not-necessarily-Noetherian ordinary schemes. The first paper presents a self-contained treatment for formal schemes which synthesizes several duality-related topics, such as local duality, formal duality, residue theorems, dualizing complexes, etc. Included is an exposition of properties of torsion sheaves and of limits of coherent sheaves. A second paper extends Greenlees-May duality to complexes on formal schemes. This theorem has important applications to Grothendieck duality. The third paper outlines methods for eliminating the Noetherian hypotheses.A basic role is played by Kiehl's theorem affirming conservation of ... Read more
This volume contains three papers on the foundations of Grothendieck duality on Noetherian formal schemes and on not-necessarily-Noetherian ordinary schemes. The first paper presents a self-contained treatment for formal schemes which synthesizes several duality-related topics, such as local duality, formal duality, residue theorems, dualizing complexes, etc. Included is an exposition of properties of torsion sheaves and of limits of coherent sheaves. A second paper extends Greenlees-May duality to complexes on formal schemes. This theorem has important applications to Grothendieck duality. The third paper outlines methods for eliminating the Noetherian hypotheses.A basic role is played by Kiehl's theorem affirming conservation of ... Read more
Product Details
Format
Paperback
Publication date
1999
Publisher
American Mathematical Society United States
Number of pages
126
Condition
New
Series
Contemporary Mathematics
Number of Pages
126
Place of Publication
Providence, United States
ISBN
9780821819425
SKU
V9780821819425
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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