ISBN: 9780792361930
ID: 9780792361930
This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithm etic, transcendental, topological, motives and K-theory methods. Topic s include a discussion of the arithmetic Abel-Jacobi mapping, higher A bel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloc h-Beilinson filtrations, applications of Chern{Simons invariants to al gebraic cycles via the study of algebraic vector bundles with algebrai This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithm etic, transcendental, topological, motives and K-theory methods. Topic s include a discussion of the arithmetic Abel-Jacobi mapping, higher A bel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloc h-Beilinson filtrations, applications of Chern{Simons invariants to al gebraic cycles via the study of algebraic vector bundles with algebrai c connection, motivic cohomology, Chow groups of singular varieties, a nd recent progress on the Hodge and Tate conjectures for Abelian varie ties. Textbooks New, Books~~Mathematics~~Algebra~~General, Arithmetic-and-Geometry-of-Algebraic-Cycles~~B-Brent-Gordon, 999999999, The Arithmetic and Geometry of Algebraic Cycles, B. Brent Gordon (Editor), James Lewis (Editor), Noriko Yui (Editor), Shuji Saito (Editor), Stefan Muller-Stach (Editor), 0792361938, Springer Netherlands, , , , , Springer Netherlands
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B. Brent Gordon#James D. Lewis#Stefan Müller-Stach#Stefan Müller-Stach#Shuji Saito:
The Arithmetic and Geometry of Algebraic Cycles - new bookISBN: 9780792361930
ID: 305d9545e122ed3c627412d05178fb28
Proceedings of the NATO Advanced Study Institute held in Banff, Alberta, Canada, June 7-19, 1998 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6193-0, Springer
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ISBN: 9780792361930
ID: 134996129
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], Proceedings of the NATO Advanced Study Institute held in Banff, Alberta, Canada, June 7-19, 1998xxx, 615 S. XXX, 615 p. 235 mmVersandfertig in 3-5 Tagen, [SC: 0.00]
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ISBN: 9780792361930
[ED: Hardcover], [PU: Springer Netherlands], Proceedings of the NATO Advanced Study Institute held in Banff, Alberta, Canada, June 7-19, 1998xxx, 615 S. XXX, 615 p. 235 mmVersandfertig in 3-5 Tagen
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Title: | The Arithmetic and Geometry of Algebraic Cycles |
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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 13.11.2016 09:01:49
ISBN/EAN: 0792361938
ISBN - alternate spelling:
0-7923-6193-8, 978-0-7923-6193-0
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