Variance and Duality for Cousin Complexes on Formal Schemes. (Record no. 68686)
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| fixed length control field | 03814nam a22005173i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3113152 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124534.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2005 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821879658 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821837054 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3113152 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3113152 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10878607 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)774059162 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA612.3 -- .L568 2005eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.3/5 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lipman, Joseph. |
| 245 10 - TITLE STATEMENT | |
| Title | Variance and Duality for Cousin Complexes on Formal Schemes. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2005. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2005. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (290 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Contemporary Mathematics ; |
| Volume/sequential designation | v.375 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Preface -- Part 1. Pseudofunctorial behavior of Cousin complexes on formal schemes -- 1. Introduction and main results -- 2. Preliminaries on formal schemes -- 3. Local cohomology and Cousin complexes -- 4. Generalized fractions and pseudofunctors -- 5. Pseudofunctorial behavior for smooth maps -- 6. Closed immersions and base change -- 7. The retract case -- 8. The main theorem -- 9. Residual and dualizing complexes -- 10. Some explicit descriptions -- References -- Part 2. Duality for Cousin complexes -- 1. Introduction -- 1.1. Conventions -- 2. Traces -- 2.1. Local rings -- 2.2. Trace at the graded level -- 2.3. Relative projective space -- 2.4. The Trace Theorem -- 2.5. Traces and translations -- 3. The twisted inverse image pseudofunctor -- 3.1. Factorizations -- 3.2. Flat base change -- 3.3. Comparing pseudofunctors -- 4. The comparison map -- 4.1. Pseudo-proper maps -- 4.2. Étale base change -- 5. Smooth maps -- 5.1. Verdier's isomorphism -- 5.2. Smooth pseudo-finite maps -- 5.3. The isomorphism theorem for smooth maps -- 6. The Cousin of the comparison map -- 6.1. Definitions and notations -- 6.2. Closed immersions -- 6.3. General maps -- 7. The Comparison map for flat morphisms -- 7.1. Tor and Ext -- 7.2. Local cohomology and the twisted inverse image -- 8. The universal property of the trace -- 8.1. Duality for Cousin complexes -- 9. Variants -- 9.1. Preliminaries -- 9.2. Twisted inverse image via residual complexes -- 9.3. Comparison of the two twisted inverse images -- References -- Part 3. Pasting pseudofunctors -- 1. Introduction -- 2. The abstract pasting results -- 3. Proofs I (generalized isomorphisms in the labeled setup) -- 4. Proofs II (the cocycle condition) -- 5. Proofs III (old isomorphisms and linearity) -- 6. Proofs IV (the output) -- 7. Applications -- References -- Index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Homology theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Abelian categories. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Duality theory (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Algebra, Homological. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Schemes (Algebraic geometry). |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Nayak, Suresh. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sastry, Pramathanath. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Lipman, Joseph |
| Title | Variance and Duality for Cousin Complexes on Formal Schemes |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2005 |
| International Standard Book Number | 9780821837054 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Contemporary Mathematics |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113152">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113152</a> |
| Public note | Click to View |
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