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2000, ISBN: 9780792361930

ID: 111701686

The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. br/ The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. br/ This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties. Proceedings of the NATO Advanced Study Institute held in Banff, Alberta, Canada, June 7-19, 1998 Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 29.02.2000 Buch (fremdspr.), Springer, .200

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ISBN: 9780792361930

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The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. br/ The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. br/ This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties. Proceedings of the NATO Advanced Study Institute held in Banff, Alberta, Canada, June 7-19, 1998 Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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ISBN: 9780792361930

[ED: Hardcover], [PU: Springer Netherlands], The NATO Advanced Study Institute on "The Arithmetic and Geometry of Algebraic Cycles" was held at the Banff Centre for Conferences in Banff (Al berta, Canada) from June 7 until June 19, 1998. This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually at the Banff Center. The conference also served as the kick-off activity of the CRM 1998-99 theme year on Number Theory and Arithmetic Geometry. There were 109 participants who came from 17 countries: Belgium, Canada, China, France, Germany, Greece, India, Italy, Japan, Mexico, Netherlands, - mania, Russia, Spain, Switzerland, the United Kingdom and the United States. During a period of two weeks, 41 invited lectures and 20 contributed lec tures were presented. Four lectures by invited speakers were delivered every day, followed by two sessions of contributed talks. Many informal discussions and working sessions involving small groups were organized by individual partic ipants. In addition, participants' reprints and preprints were displayed through out in a lounge next to the auditorium, which further enhanced opportunities for communication and interaction. xxx, 615 S. XXX, 615 p. 235 mm Versandfertig in 3-5 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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ISBN: 9780792361930

ID: 9780792361930

Mathematics; Algebraic Geometry; K-Theory; Field Theory and Polynomials; Applications of Mathematics; Global Analysis and Analysis on Manifolds Abelian variety, Dimension, Grad, K-theory, algebraic geometry Books Book, Springer Science+Business Media

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** Details of the book - The Arithmetic and Geometry of Algebraic Cycles**

EAN (ISBN-13): 9780792361930

ISBN (ISBN-10): 0792361938

Hardcover

Publishing year: 2000

Publisher: Springer-Verlag GmbH

652 Pages

Weight: 1,128 kg

Language: eng/Englisch

Book in our database since 31.05.2007 15:27:05

Book found last time on 13.09.2017 21:04:13

ISBN/EAN: 0792361938

ISBN - alternate spelling:

0-7923-6193-8, 978-0-7923-6193-0

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