Filtrations on the Homology of Algebraic Varieties. (Record no. 69438)
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| fixed length control field | 04720nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3113907 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124554.0 |
| 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 | 240724s1994 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470401085 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821825914 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3113907 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3113907 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10918860 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)891385388 |
| 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 | QA3 -- .F754 1994eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.3/5 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Friedlander, Eric M. |
| 245 10 - TITLE STATEMENT | |
| Title | Filtrations on the Homology of Algebraic Varieties. |
| 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 | 1994. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1994. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (126 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 | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.110 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Preface -- Introduction -- Chapter 1. Questions and Speculations -- 1.1. The nitrations -- 1.2. Dependence on the projective imbedding -- 1.3. The "Strong Lefschetz" mapping in Lawson Homology -- 1.4. Equivalence relations on algebraic cycles -- 1.5. Stabilized homotopy of moduli spaces -- 1.6. Joins and Resultants -- Chapter 2. Abelian monoid varieties -- 2.1. Monoids -- 2.2. Limits -- 2.3. Directed systems attached to an abelian monoid -- 2.4. Limits of covariant functors -- 2.5. Bi-algebras -- 2.6. Abelian group completions -- 2.7. Constructing limH*(m) from H*(M) -- 2.8. Base points -- 2.9. Primitive elements -- 2.10. Mixed Hodge Structure -- Chapter 3. Chow varieties and Lawson homology -- 3.1. The Chow variety -- 3.2. Functoriality and Chow varieties -- 3.3. Functoriality: algebraic context -- 3.4. The additive monoid -- 3.5. Lawson homology -- Chapter 4. Correspondences and Lawson homology -- 4.1. Correspondence homomorphisms -- 4.2. The Chow correspondence homomorphism -- 4.3. The Chow correspondence homomorphism and Lawson homology -- Chapter 5. "Multiplication" of algebraic cycles -- 5.1. The multiplicative structure on Chow varieties -- 5.2. Bilinear pairings on group completions -- 5.3. The multiplicative structure on Lawson homology -- 5.4. The ring structure on Lawson homology of P[sup(0)] -- Chapter 6. Operations in Lawson homology -- 6.1. The structure of the algebra A -- 6.2. A "geometric" description of s -- 6.3. A homological description of iterates of s -- 6.4. The connection between s and the correspondence homomorphism -- 6.5. The operator σ[sub(j)]and the Chow correspondence homomorphism -- 6.6. The operator h -- Chapter 7. Filtrations -- 7.1. The Hodge Filtration -- 7.2. The Geometric filtration -- 7.3. The Topological filtration -- 7.4. The Correspondence subspace. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 7.5. Equality of correspondence and topological filtrations -- Appendix A. Mixed Hodge Structures, Homology, and Cycle classes -- A.1. Mixed Hodge Structure on homology and cohomology -- A.2. Homology and cohomology of smooth varieties -- A.3. Cycle classes in homology -- A.4. Change of cycle class under l.c.i. morphisms -- A.5. Relation to birational change of correspondence -- A.6. Correspondences and suspensions -- Appendix B. Trace maps and the Dold-Thom Theorem -- B.1. The inverse image mapping on homology attached to a "weighted map -- B.2. The Dold-Thom theorem -- Appendix Q. On the group completion of a simplicial monoid -- Q.1. Rings of fractions -- Q.2. Grading of RS-[sup(1)] -- Q.3. The Eilenberg-Moore spectral sequence -- Q.4. A comparison lemma -- Q.5. Good simplicial monoids -- Q.6. Homology of the group completion -- Q.7. Applications to K-theory -- Q.8. A theorem of Mather -- Q.9. The group completion theorem in Segal's setup -- References for Appendix Q -- Bibliography. |
| 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 | Algebraic cycles. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Filters (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Homology theory. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mazur, Barry. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Friedlander, Eric M. |
| Title | Filtrations on the Homology of Algebraic Varieties |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c1994 |
| International Standard Book Number | 9780821825914 |
| 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 | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113907">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113907</a> |
| Public note | Click to View |
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