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Filtrations on the homology of algebraic varieties /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Friedlander, E. M. (Eric M.), 1944- (Autor), Mazur, Barry (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island, United States : American Mathematical Society, 1994.
Colección:Memoirs of the American Mathematical Society ; Volume 110, no. 529.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Friedlander, E. M.  |q (Eric M.),  |d 1944-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJv8GgxXfDgwFWpJJQkv73 
245 1 0 |a Filtrations on the homology of algebraic varieties /  |c Eric M. Friedlander, Barry Mazur. 
264 1 |a Providence, Rhode Island, United States :  |b American Mathematical Society,  |c 1994. 
264 4 |c ©1994 
300 |a 1 online resource (126 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v Volume 110, Number 529 
500 |a "July 1994, Volume 110, Number 529 (fourth of 6 numbers)"--Cover 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |a 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 
505 8 |a 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 
505 8 |a Chapter 5. Multiplication of algebraic cycles5.1. 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 
505 8 |a ""6.5. The operator Ï?[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""; ""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"" 
505 8 |a A.4. Change of cycle class under l.c.i. morphismsA.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 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Algebraic cycles. 
650 0 |a Filters (Mathematics) 
650 0 |a Homology theory. 
650 6 |a Cycles algébriques. 
650 6 |a Filtres (Mathématiques) 
650 6 |a Homologie. 
650 7 |a Algebraic cycles  |2 fast 
650 7 |a Filters (Mathematics)  |2 fast 
650 7 |a Homology theory  |2 fast 
700 1 |a Mazur, Barry,  |e author. 
758 |i has work:  |a Filtrations on the homology of algebraic varieties (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCG98m76k6c8HchDMbtJ6fC  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Friedlander, E.M. (Eric M.), 1944-  |t Filtrations on the homology of algebraic varieties.  |d Providence, Rhode Island, United States : American Mathematical Society, ©1994  |h ix, 110 pages  |k Memoirs of the American Mathematical Society ; Volume 110, Number 529  |x 0065-9266  |z 9780821825914 
830 0 |a Memoirs of the American Mathematical Society ;  |v Volume 110, no. 529. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113907  |z Texto completo 
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