| Description |
1 online resource : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
London Mathematical Society lecture note series ; 344
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London Mathematical Society lecture note series ; 344.
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| Note |
"These proceedings contain a selection of papers from the EAGER conference 'Algebraic Cycles and Motives' that was held at the Lorentz Center in Leiden on the occasion of the 75th birthday of Professor J.P. Murre (Aug 30-Sept 3, 2004)"--Preface. |
| Bibliography |
Includes bibliographical references. |
| Contents |
Research articles: Beilinson's Hodge conjecture with coefficients / M. Asakura and / S. Saito ; On the splitting of the Bloch-Beilinson filtration / A. Beauville ; K̀ˆunneth projectors / S. Bloch and H. Esnault ; Brill-Noether curve of a stable bundle on a genus two curve / S. Brivio and A. Verra ; On Tannaka duality for vector bundles on p-adic curves / C. Deninger and A. Werner ; On finite-dimensional motives and Murre's conjecture / U. Jannsen ; On the transcendental part of the motive of a surface / B. Kahn, J.P. Murre and C. Pedrini ; A note on finite dimensional motives / S.I. Kimura ; Real regulators on Milnor complexes, II / J.D. Lewis ; Motives for Picard modular surfaces / A. Miller [and others] ; Regulator map for complete intersections / J. Nagel ; Hodge number polynomials for nearby and vanishing cohomology / C. Peters and J. Steenbrink ; Direct image of logarithmic complexes / M. Saito ; Mordell-Weil lattices of certain elliptic K3 / T. Shioda ; Motives from diffraction / J. Stienstra. |
| Summary |
Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This book is one of two volumes that provide a self-contained account of the subject as it stands. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives, finite-dimensional motives); the conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups and Bloch's conjecture. Researchers and students in complex algebraic geometry and arithmetic geometry will find much of interest here. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Algebraic cycles -- Congresses.
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Algebraic cycles. |
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Motives (Mathematics) -- Congresses.
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Motives (Mathematics) |
| Genre/Form |
Electronic books.
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Conference papers and proceedings.
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Conference papers and proceedings.
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| Added Author |
Nagel, Jan.
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Peters, C. (Chris)
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London Mathematical Society.
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| ISBN |
9781107089327 (electronic book) |
|
1107089328 (electronic book) |
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9781107325968 (electronic book) |
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110732596X (electronic book) |
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9780521701747 |
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0521701740 |
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0521701759 |
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9780521701754 |
|
