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2000, ISBN: 9780792361947

ID: 111703987

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 Taschenbuch 29.02.2000 Buch (fremdspr.), Springer, .200

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ISBN: 9780792361947

ID: 108235570

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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The Arithmetic and Geometry of Algebraic Cycles: Proceedings of the NATO Advanced Study Institute Held in Banff, Alberta, Canada, June 7-9, 1998 (Nato Science Series C:)

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ISBN: 0792361946

ID: 21708090076

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ISBN: 9780792361947

ID: 9780792361947

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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2000, ISBN: 9780792361947

ID: 2838108

Softcover reprint of the original 1st ed. 2000, Softcover, Buch, [PU: Springer]

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

EAN (ISBN-13): 9780792361947

ISBN (ISBN-10): 0792361946

Hardcover

Paperback

Publishing year: 2000

Publisher: Springer-Verlag GmbH

648 Pages

Weight: 0,956 kg

Language: eng/Englisch

Book in our database since 18.05.2007 16:40:59

Book found last time on 13.09.2017 21:04:13

ISBN/EAN: 0792361946

ISBN - alternate spelling:

0-7923-6194-6, 978-0-7923-6194-7

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