Filtrations on the homology of algebraic varieties / / Eric M. Friedlander, Barry Mazur

• Autore: Friedlander E. M (Eric M.), <1944->
• Pubblicazione: Providence, Rhode Island, United States : , : American Mathematical Society, , 1994; ©1994
• Descrizione fisica: 1 online resource (126 p.)
• Disciplina: 516.3/5
• Soggetto topico: Algebraic cycles; Filters (Mathematics); Homology theory
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): MazurBarry
• Note generali: "July 1994, Volume 110, Number 529 (fourth of 6 numbers)"--Cover.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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 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"" ; ""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""
• Titolo autorizzato: Filtrations on the homology of algebraic varieties
• ISBN: 1-4704-0108-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480557303321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Volume 110, Number 529.